7934424960 has 1152 divisors, whose sum is σ = 35075164320. Its totient is φ = 1513881600.

The previous prime is 7934424941. The next prime is 7934425019. The reversal of 7934424960 is 694244397.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 193522540 + ... + 193522580.

Almost surely, 2^7934424960 is an apocalyptic number.

7934424960 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 7934424960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17537582160).

7934424960 is an abundant number, since it is smaller than the sum of its proper divisors (27140739360).

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

7934424960 is a wasteful number, since it uses less digits than its factorization.

7934424960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 48.

The square root of 7934424960 is about 89075.3891936488. The cubic root of 7934424960 is about 1994.5204141134.

The spelling of 7934424960 in words is "seven billion, nine hundred thirty-four million, four hundred twenty-four thousand, nine hundred sixty".