662806748132496 has 960 divisors, whose sum is σ = 2264090903193600. Its totient is φ = 178395324825600.

The previous prime is 662806748132429. The next prime is 662806748132497. The reversal of 662806748132496 is 694231847608266.

662806748132496 is a `hidden beast` number, since 6 + 6 + 2 + 8 + 0 + 67 + 48 + 1 + 32 + 496 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (662806748132497) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 281207783350 + ... + 281207785706.

It is an arithmetic number, because the mean of its divisors is an integer number (2358428024160).

Almost surely, 2^{662806748132496} is an apocalyptic number.

662806748132496 is a gapful number since it is divisible by the number (66) 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 662806748132496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1132045451596800).

662806748132496 is an abundant number, since it is smaller than the sum of its proper divisors (1601284155061104).

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

662806748132496 is a wasteful number, since it uses less digits than its factorization.

662806748132496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4308 (or 4299 counting only the distinct ones).

The product of its (nonzero) digits is 1003290624, while the sum is 72.

The spelling of 662806748132496 in words is "six hundred sixty-two trillion, eight hundred six billion, seven hundred forty-eight million, one hundred thirty-two thousand, four hundred ninety-six".