8978674359600 has 1440 divisors, whose sum is σ = 37363768565760. Its totient is φ = 2047731840000.

The previous prime is 8978674359559. The next prime is 8978674359647. The reversal of 8978674359600 is 69534768798.

8978674359600 is a `hidden beast` number, since 8 + 9 + 7 + 8 + 6 + 7 + 4 + 3 + 5 + 9 + 600 = 666.

It is a super-2 number, since 2×8978674359600² (a number of 27 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3067533337 + ... + 3067536263.

It is an arithmetic number, because the mean of its divisors is an integer number (25947061504).

Almost surely, 2^{8978674359600} is an apocalyptic number.

8978674359600 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 8978674359600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18681884282880).

8978674359600 is an abundant number, since it is smaller than the sum of its proper divisors (28385094206160).

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

8978674359600 is a wasteful number, since it uses less digits than its factorization.

8978674359600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3141 (or 3118 counting only the distinct ones).

The product of its (nonzero) digits is 548674560, while the sum is 72.

The spelling of 8978674359600 in words is "eight trillion, nine hundred seventy-eight billion, six hundred seventy-four million, three hundred fifty-nine thousand, six hundred".