645737732057152 has 112 divisors (see below), whose sum is σ = 1468513573365760. Its totient is φ = 275976175680000.

The previous prime is 645737732057147. The next prime is 645737732057179. The reversal of 645737732057152 is 251750237737546.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×645737732057152² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 231096799 + ... + 233874337.

Almost surely, 2^{645737732057152} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 645737732057152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734256786682880).

645737732057152 is an abundant number, since it is smaller than the sum of its proper divisors (822775841308608).

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

645737732057152 is a wasteful number, since it uses less digits than its factorization.

645737732057152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2779000 (or 2778990 counting only the distinct ones).

The product of its (nonzero) digits is 259308000, while the sum is 64.

The spelling of 645737732057152 in words is "six hundred forty-five trillion, seven hundred thirty-seven billion, seven hundred thirty-two million, fifty-seven thousand, one hundred fifty-two".