78351028632 has 96 divisors (see below), whose sum is σ = 219598938000. Its totient is φ = 25207123200.

The previous prime is 78351028627. The next prime is 78351028687. The reversal of 78351028632 is 23682015387.

78351028632 is a `hidden beast` number, since 7 + 8 + 3 + 5 + 1 + 0 + 2 + 8 + 632 = 666.

It is a super-2 number, since 2×78351028632² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7722619 + ... + 7732757.

Almost surely, 2^78351028632 is an apocalyptic number.

78351028632 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 78351028632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109799469000).

78351028632 is an abundant number, since it is smaller than the sum of its proper divisors (141247909368).

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

78351028632 is a wasteful number, since it uses less digits than its factorization.

78351028632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13881 (or 13874 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 78351028632 in words is "seventy-eight billion, three hundred fifty-one million, twenty-eight thousand, six hundred thirty-two".