7913106432 has 792 divisors, whose sum is σ = 30579232320. Its totient is φ = 2020515840.

The previous prime is 7913106427. The next prime is 7913106451. The reversal of 7913106432 is 2346013197.

7913106432 is a `hidden beast` number, since 7 + 9 + 1 + 3 + 1 + 0 + 643 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (792).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 134120419 + ... + 134120477.

Almost surely, 2^7913106432 is an apocalyptic number.

7913106432 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 7913106432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15289616160).

7913106432 is an abundant number, since it is smaller than the sum of its proper divisors (22666125888).

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

7913106432 is a wasteful number, since it uses less digits than its factorization.

7913106432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 7913106432 is about 88955.6430587740. The cubic root of 7913106432 is about 1992.7324929914.

The spelling of 7913106432 in words is "seven billion, nine hundred thirteen million, one hundred six thousand, four hundred thirty-two".