764037120000 has 2400 divisors, whose sum is σ = 3537703572480. Its totient is φ = 141557760000.

The previous prime is 764037119999. The next prime is 764037120047. The reversal of 764037120000 is 21730467.

It is a tau number, because it is divible by the number of its divisors (2400).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 764037120000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 40212479991 + ... + 40212480009.

Almost surely, 2^764037120000 is an apocalyptic number.

764037120000 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 764037120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1768851786240).

764037120000 is an abundant number, since it is smaller than the sum of its proper divisors (2773666452480).

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

764037120000 is a wasteful number, since it uses less digits than its factorization.

764037120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

Adding to 764037120000 its reverse (21730467), we get a palindrome (764058850467).

The spelling of 764037120000 in words is "seven hundred sixty-four billion, thirty-seven million, one hundred twenty thousand".