6457538626560 has 704 divisors, whose sum is σ = 26657544522240. Its totient is φ = 1451798691840.

The previous prime is 6457538626541. The next prime is 6457538626579. The reversal of 6457538626560 is 656268357546.

6457538626560 is a `hidden beast` number, since 6 + 4 + 5 + 7 + 5 + 3 + 8 + 62 + 6 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (6457538626541) and next prime (6457538626579).

It is a super-2 number, since 2×6457538626560² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 63 ways as a sum of consecutive naturals, for example, 58973782 + ... + 59083178.

Almost surely, 2^{6457538626560} is an apocalyptic number.

6457538626560 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 6457538626560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13328772261120).

6457538626560 is an abundant number, since it is smaller than the sum of its proper divisors (20200005895680).

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

6457538626560 is a wasteful number, since it uses less digits than its factorization.

6457538626560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109499 (or 109475 counting only the distinct ones).

The product of its (nonzero) digits is 217728000, while the sum is 63.

The spelling of 6457538626560 in words is "six trillion, four hundred fifty-seven billion, five hundred thirty-eight million, six hundred twenty-six thousand, five hundred sixty".