764280147456 has 640 divisors, whose sum is σ = 2634315678720. Its totient is φ = 216961597440.

The previous prime is 764280147413. The next prime is 764280147457. The reversal of 764280147456 is 654741082467.

764280147456 is a `hidden beast` number, since 7 + 6 + 42 + 8 + 0 + 147 + 456 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (764280147457) by changing a digit.

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, 2202536275 + ... + 2202536621.

It is an arithmetic number, because the mean of its divisors is an integer number (4116118248).

Almost surely, 2^764280147456 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 764280147456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1317157839360).

764280147456 is an abundant number, since it is smaller than the sum of its proper divisors (1870035531264).

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

764280147456 is an frugal number, since it uses more digits than its factorization.

764280147456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 764280147456 in words is "seven hundred sixty-four billion, two hundred eighty million, one hundred forty-seven thousand, four hundred fifty-six".