78949501632 has 448 divisors, whose sum is σ = 254495808000. Its totient is φ = 23904792576.

The previous prime is 78949501591. The next prime is 78949501681. The reversal of 78949501632 is 23610594987.

78949501632 is a `hidden beast` number, since 78 + 9 + 4 + 9 + 501 + 63 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 269452078 + ... + 269452370.

It is an arithmetic number, because the mean of its divisors is an integer number (568071000).

It is a 2-persistent number, because it is pandigital, and so is 2⋅78949501632 = 157899003264, but 3⋅78949501632 = 236848504896 is not.

Almost surely, 2^78949501632 is an apocalyptic number.

78949501632 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

78949501632 is the 229419-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78949501632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127247904000).

78949501632 is an abundant number, since it is smaller than the sum of its proper divisors (175546306368).

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

78949501632 is a wasteful number, since it uses less digits than its factorization.

78949501632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 78949501632 in words is "seventy-eight billion, nine hundred forty-nine million, five hundred one thousand, six hundred thirty-two".