8978490720 has 144 divisors (see below), whose sum is σ = 30955448160. Its totient is φ = 2369544192.

The previous prime is 8978490713. The next prime is 8978490727. The reversal of 8978490720 is 270948798.

8978490720 is a `hidden beast` number, since 89 + 7 + 8 + 490 + 72 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (8978490713) and next prime (8978490727).

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×8978490720² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8978490727) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107541 + ... + 171819.

It is an arithmetic number, because the mean of its divisors is an integer number (214968390).

Almost surely, 2^8978490720 is an apocalyptic number.

8978490720 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8978490720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15477724080).

8978490720 is an abundant number, since it is smaller than the sum of its proper divisors (21976957440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8978490720 is a wasteful number, since it uses less digits than its factorization.

8978490720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64397 (or 64386 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The square root of 8978490720 is about 94754.8981319699. The cubic root of 8978490720 is about 2078.4254232250.

The spelling of 8978490720 in words is "eight billion, nine hundred seventy-eight million, four hundred ninety thousand, seven hundred twenty".