79414981632 has 528 divisors, whose sum is σ = 274676613120. Its totient is φ = 22448627712.

The previous prime is 79414981627. The next prime is 79414981643. The reversal of 79414981632 is 23618941497.

79414981632 is a `hidden beast` number, since 7 + 94 + 1 + 498 + 1 + 63 + 2 = 666.

It is a super-2 number, since 2×79414981632² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 221211469 + ... + 221211827.

Almost surely, 2^79414981632 is an apocalyptic number.

79414981632 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 79414981632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137338306560).

79414981632 is an abundant number, since it is smaller than the sum of its proper divisors (195261631488).

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

79414981632 is a wasteful number, since it uses less digits than its factorization.

79414981632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 498 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The spelling of 79414981632 in words is "seventy-nine billion, four hundred fourteen million, nine hundred eighty-one thousand, six hundred thirty-two".