76662829152 has 432 divisors, whose sum is σ = 273145436928. Its totient is φ = 19967800320.

The previous prime is 76662829127. The next prime is 76662829153. The reversal of 76662829152 is 25192826667.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76662829153) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 28277077 + ... + 28279787.

It is an arithmetic number, because the mean of its divisors is an integer number (632281104).

Almost surely, 2^76662829152 is an apocalyptic number.

76662829152 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 76662829152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136572718464).

76662829152 is an abundant number, since it is smaller than the sum of its proper divisors (196482607776).

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

76662829152 is a wasteful number, since it uses less digits than its factorization.

76662829152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2843 (or 2819 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The spelling of 76662829152 in words is "seventy-six billion, six hundred sixty-two million, eight hundred twenty-nine thousand, one hundred fifty-two".