764225640000 has 945 divisors, whose sum is σ = 2889874046631. Its totient is φ = 193023360000.

The previous prime is 764225639981. The next prime is 764225640011. The reversal of 764225640000 is 46522467.

The square root of 764225640000 is 874200.

It is a perfect power (a square), and thus also a powerful number.

764225640000 is a `hidden beast` number, since 7 + 6 + 4 + 2 + 2 + 5 + 640 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 59915290176 + 704310349824 = 244776^2 + 839232^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 16260119977 + ... + 16260120023.

Almost surely, 2^764225640000 is an apocalyptic number.

764225640000 is the 874200-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 764225640000

764225640000 is an abundant number, since it is smaller than the sum of its proper divisors (2125648406631).

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

764225640000 is an equidigital number, since it uses as much as digits as its factorization.

764225640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

Multiplying 764225640000 by its sum of digits (36), we get a square (27512123040000 = 5245200²).

764225640000 divided by its sum of digits (36) gives a square (21228490000 = 145700²).

It can be divided in two parts, 764225 and 640000, that added together give a square (1404225 = 1185²).

The spelling of 764225640000 in words is "seven hundred sixty-four billion, two hundred twenty-five million, six hundred forty thousand".