764040462120 has 576 divisors, whose sum is σ = 2840420943360. Its totient is φ = 177753139200.

The previous prime is 764040462109. The next prime is 764040462127. The reversal of 764040462120 is 21264040467.

764040462120 is a `hidden beast` number, since 7 + 6 + 4 + 0 + 4 + 0 + 4 + 621 + 20 = 666.

764040462120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (764040462127) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 81095010 + ... + 81104430.

It is an arithmetic number, because the mean of its divisors is an integer number (4931286360).

Almost surely, 2^764040462120 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 764040462120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1420210471680).

764040462120 is an abundant number, since it is smaller than the sum of its proper divisors (2076380481240).

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

764040462120 is a wasteful number, since it uses less digits than its factorization.

764040462120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9538 (or 9518 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 764040462120 in words is "seven hundred sixty-four billion, forty million, four hundred sixty-two thousand, one hundred twenty".