7266800520 has 512 divisors, whose sum is σ = 28952985600. Its totient is φ = 1586304000.

The previous prime is 7266800509. The next prime is 7266800533. The reversal of 7266800520 is 250086627.

7266800520 is a `hidden beast` number, since 72 + 6 + 68 + 0 + 0 + 520 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 23670207 + ... + 23670513.

It is an arithmetic number, because the mean of its divisors is an integer number (56548800).

Almost surely, 2^7266800520 is an apocalyptic number.

7266800520 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 7266800520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14476492800).

7266800520 is an abundant number, since it is smaller than the sum of its proper divisors (21686185080).

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

7266800520 is a wasteful number, since it uses less digits than its factorization.

7266800520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 7266800520 is about 85245.5307919424. The cubic root of 7266800520 is about 1936.9321725265.

The spelling of 7266800520 in words is "seven billion, two hundred sixty-six million, eight hundred thousand, five hundred twenty".