76464033107000 has 256 divisors, whose sum is σ = 223092410112000. Its totient is φ = 23831231616000.

The previous prime is 76464033106907. The next prime is 76464033107017. The reversal of 76464033107000 is 70133046467.

It is a congruent number.

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, 1456736756 + ... + 1456789244.

It is an arithmetic number, because the mean of its divisors is an integer number (871454727000).

Almost surely, 2^{76464033107000} is an apocalyptic number.

76464033107000 is a gapful number since it is divisible by the number (70) 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 76464033107000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111546205056000).

76464033107000 is an abundant number, since it is smaller than the sum of its proper divisors (146628377005000).

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

76464033107000 is a wasteful number, since it uses less digits than its factorization.

76464033107000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71447 (or 71433 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 41.

The spelling of 76464033107000 in words is "seventy-six trillion, four hundred sixty-four billion, thirty-three million, one hundred seven thousand".