764371406000 has 320 divisors, whose sum is σ = 2001324049920. Its totient is φ = 281455948800.

The previous prime is 764371405961. The next prime is 764371406033. The reversal of 764371406000 is 604173467.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 215496227 + ... + 215499773.

It is an arithmetic number, because the mean of its divisors is an integer number (6254137656).

Almost surely, 2^764371406000 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 764371406000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1000662024960).

764371406000 is an abundant number, since it is smaller than the sum of its proper divisors (1236952643920).

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

764371406000 is a wasteful number, since it uses less digits than its factorization.

764371406000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3749 (or 3733 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 38.

Adding to 764371406000 its reverse (604173467), we get a palindrome (764975579467).

The spelling of 764371406000 in words is "seven hundred sixty-four billion, three hundred seventy-one million, four hundred six thousand".