76029964416 has 896 divisors, whose sum is σ = 283192277760. Its totient is φ = 19826933760.

The previous prime is 76029964397. The next prime is 76029964453. The reversal of 76029964416 is 61446992067.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (896).

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 111 ways as a sum of consecutive naturals, for example, 455269165 + ... + 455269331.

It is an arithmetic number, because the mean of its divisors is an integer number (316062810).

Almost surely, 2^76029964416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76029964416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141596138880).

76029964416 is an abundant number, since it is smaller than the sum of its proper divisors (207162313344).

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

76029964416 is a wasteful number, since it uses less digits than its factorization.

76029964416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 76029964416 in words is "seventy-six billion, twenty-nine million, nine hundred sixty-four thousand, four hundred sixteen".