764232050400 has 1152 divisors, whose sum is σ = 3144758722560. Its totient is φ = 156926730240.

The previous prime is 764232050389. The next prime is 764232050423. The reversal of 764232050400 is 4050232467.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1636470967 + ... + 1636471433.

It is an arithmetic number, because the mean of its divisors is an integer number (2729825280).

Almost surely, 2^764232050400 is an apocalyptic number.

764232050400 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 764232050400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1572379361280).

764232050400 is an abundant number, since it is smaller than the sum of its proper divisors (2380526672160).

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

764232050400 is a wasteful number, since it uses less digits than its factorization.

764232050400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 33.

Adding to 764232050400 its reverse (4050232467), we get a palindrome (768282282867).

The spelling of 764232050400 in words is "seven hundred sixty-four billion, two hundred thirty-two million, fifty thousand, four hundred".