657253048320 has 672 divisors, whose sum is σ = 2509948995840. Its totient is φ = 157766123520.

The previous prime is 657253048303. The next prime is 657253048321. The reversal of 657253048320 is 23840352756.

657253048320 is a `hidden beast` number, since 6 + 5 + 72 + 530 + 48 + 3 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (657253048321) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 441998617 + ... + 442000103.

Almost surely, 2^657253048320 is an apocalyptic number.

657253048320 is a gapful number since it is divisible by the number (60) 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 657253048320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1254974497920).

657253048320 is an abundant number, since it is smaller than the sum of its proper divisors (1852695947520).

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

657253048320 is a wasteful number, since it uses less digits than its factorization.

657253048320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1644 (or 1617 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 657253048320 in words is "six hundred fifty-seven billion, two hundred fifty-three million, forty-eight thousand, three hundred twenty".