7934976000 has 896 divisors, whose sum is σ = 34349253120. Its totient is φ = 1769472000.

The previous prime is 7934975989. The next prime is 7934976053. The reversal of 7934976000 is 6794397.

7934976000 is a `hidden beast` number, since 7 + 9 + 34 + 9 + 7 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 193535980 + ... + 193536020.

It is an arithmetic number, because the mean of its divisors is an integer number (38336220).

Almost surely, 2^7934976000 is an apocalyptic number.

7934976000 is a gapful number since it is divisible by the number (70) 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 7934976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17174626560).

7934976000 is an abundant number, since it is smaller than the sum of its proper divisors (26414277120).

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

7934976000 is an equidigital number, since it uses as much as digits as its factorization.

7934976000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The square root of 7934976000 is about 89078.4822502045. The cubic root of 7934976000 is about 1994.5665857050.

The spelling of 7934976000 in words is "seven billion, nine hundred thirty-four million, nine hundred seventy-six thousand".