7472765780496 has 135 divisors (see below), whose sum is σ = 21120564424141. Its totient is φ = 2466483220992.

The previous prime is 7472765780449. The next prime is 7472765780521. The reversal of 7472765780496 is 6940875672747.

The square root of 7472765780496 is 2733636.

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

7472765780496 is a `hidden beast` number, since 7 + 4 + 7 + 2 + 7 + 6 + 57 + 80 + 496 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1891076026896 + 5581689753600 = 1375164^2 + 2362560^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3509987560 + ... + 3509989688.

Almost surely, 2^{7472765780496} is an apocalyptic number.

7472765780496 is the 2733636-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7472765780496

7472765780496 is an abundant number, since it is smaller than the sum of its proper divisors (13647798643645).

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

7472765780496 is an equidigital number, since it uses as much as digits as its factorization.

7472765780496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4486 (or 2241 counting only the distinct ones).

The product of its (nonzero) digits is 995742720, while the sum is 72.

The spelling of 7472765780496 in words is "seven trillion, four hundred seventy-two billion, seven hundred sixty-five million, seven hundred eighty thousand, four hundred ninety-six".