76349064000 has 672 divisors, whose sum is σ = 282302931456. Its totient is φ = 18163200000.

The previous prime is 76349063993. The next prime is 76349064019. The reversal of 76349064000 is 46094367.

It is a self number, because there is not a number n which added to its sum of digits gives 76349064000.

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 95 ways as a sum of consecutive naturals, for example, 177143785 + ... + 177144215.

It is an arithmetic number, because the mean of its divisors is an integer number (420093648).

Almost surely, 2^76349064000 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 76349064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141151465728).

76349064000 is an abundant number, since it is smaller than the sum of its proper divisors (205953867456).

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

76349064000 is a wasteful number, since it uses less digits than its factorization.

76349064000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 39.

The spelling of 76349064000 in words is "seventy-six billion, three hundred forty-nine million, sixty-four thousand".