645051423744 has 1056 divisors, whose sum is σ = 2421446017536. Its totient is φ = 166976225280.

The previous prime is 645051423721. The next prime is 645051423773. The reversal of 645051423744 is 447324150546.

645051423744 is a `hidden beast` number, since 6 + 45 + 0 + 514 + 23 + 74 + 4 = 666.

It is a super-2 number, since 2×645051423744² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 645051423744.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1381266199 + ... + 1381266665.

Almost surely, 2^645051423744 is an apocalyptic number.

645051423744 is a gapful number since it is divisible by the number (64) 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 645051423744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1210723008768).

645051423744 is an abundant number, since it is smaller than the sum of its proper divisors (1776394593792).

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

645051423744 is a wasteful number, since it uses less digits than its factorization.

645051423744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 45.

The spelling of 645051423744 in words is "six hundred forty-five billion, fifty-one million, four hundred twenty-three thousand, seven hundred forty-four".