7935060672 has 560 divisors, whose sum is σ = 29764280832. Its totient is φ = 2030469120.

The previous prime is 7935060631. The next prime is 7935060673. The reversal of 7935060672 is 2760605397.

7935060672 is a `hidden beast` number, since 7 + 9 + 35 + 0 + 606 + 7 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (7935060673) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 41114208 + ... + 41114400.

Almost surely, 2^7935060672 is an apocalyptic number.

7935060672 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 7935060672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14882140416).

7935060672 is an abundant number, since it is smaller than the sum of its proper divisors (21829220160).

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

7935060672 is a wasteful number, since it uses less digits than its factorization.

7935060672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 45.

The square root of 7935060672 is about 89078.9575152292. The cubic root of 7935060672 is about 1994.5736801747.

The spelling of 7935060672 in words is "seven billion, nine hundred thirty-five million, sixty thousand, six hundred seventy-two".