7934464512 has 200 divisors, whose sum is σ = 25505734716. Its totient is φ = 2441207808.

The previous prime is 7934464501. The next prime is 7934464523. The reversal of 7934464512 is 2154644397.

7934464512 is a `hidden beast` number, since 7 + 93 + 4 + 46 + 4 + 512 = 666.

It is an interprime number because it is at equal distance from previous prime (7934464501) and next prime (7934464523).

It can be written as a sum of positive squares in 2 ways, for example, as 7193753856 + 740710656 = 84816^2 + 27216^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 531778 + ... + 546494.

Almost surely, 2^7934464512 is an apocalyptic number.

7934464512 is a gapful number since it is divisible by the number (72) 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 7934464512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12752867358).

7934464512 is an abundant number, since it is smaller than the sum of its proper divisors (17571270204).

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

7934464512 is a wasteful number, since it uses less digits than its factorization.

7934464512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14760 (or 14735 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 7934464512 is about 89075.6112075578. The cubic root of 7934464512 is about 1994.5237282431.

The spelling of 7934464512 in words is "seven billion, nine hundred thirty-four million, four hundred sixty-four thousand, five hundred twelve".