8976414720 has 768 divisors, whose sum is σ = 37425024000. Its totient is φ = 1794244608.

The previous prime is 8976414719. The next prime is 8976414721. The reversal of 8976414720 is 274146798.

It is an interprime number because it is at equal distance from previous prime (8976414719) and next prime (8976414721).

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 8976414720.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8976414721) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 472442871 + ... + 472442889.

It is an arithmetic number, because the mean of its divisors is an integer number (48730500).

Almost surely, 2^8976414720 is an apocalyptic number.

8976414720 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 8976414720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18712512000).

8976414720 is an abundant number, since it is smaller than the sum of its proper divisors (28448609280).

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

8976414720 is a wasteful number, since it uses less digits than its factorization.

8976414720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 48.

The square root of 8976414720 is about 94743.9429198511. The cubic root of 8976414720 is about 2078.2652202127.

The spelling of 8976414720 in words is "eight billion, nine hundred seventy-six million, four hundred fourteen thousand, seven hundred twenty".