8949974880 has 384 divisors, whose sum is σ = 35505340416. Its totient is φ = 1840896000.

The previous prime is 8949974863. The next prime is 8949974959. The reversal of 8949974880 is 884799498.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3805705 + ... + 3808055.

It is an arithmetic number, because the mean of its divisors is an integer number (92461824).

Almost surely, 2^8949974880 is an apocalyptic number.

8949974880 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 8949974880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17752670208).

8949974880 is an abundant number, since it is smaller than the sum of its proper divisors (26555365536).

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

8949974880 is a wasteful number, since it uses less digits than its factorization.

8949974880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2490 (or 2482 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 66.

The square root of 8949974880 is about 94604.3068787040. The cubic root of 8949974880 is about 2076.2227180762. Note that the first 3 decimals are identical.

The spelling of 8949974880 in words is "eight billion, nine hundred forty-nine million, nine hundred seventy-four thousand, eight hundred eighty".