642267658736640 has 1408 divisors, whose sum is σ = 2480757112166400. Its totient is φ = 156979840942080.

The previous prime is 642267658736593. The next prime is 642267658736659. The reversal of 642267658736640 is 46637856762246.

642267658736640 is a `hidden beast` number, since 6 + 4 + 2 + 2 + 6 + 7 + 6 + 587 + 36 + 6 + 4 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14836033395 + ... + 14836076685.

Almost surely, 2^{642267658736640} is an apocalyptic number.

642267658736640 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 642267658736640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1240378556083200).

642267658736640 is an abundant number, since it is smaller than the sum of its proper divisors (1838489453429760).

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

642267658736640 is a wasteful number, since it uses less digits than its factorization.

642267658736640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43508 (or 43484 counting only the distinct ones).

The product of its (nonzero) digits is 2926264320, while the sum is 72.

The spelling of 642267658736640 in words is "six hundred forty-two trillion, two hundred sixty-seven billion, six hundred fifty-eight million, seven hundred thirty-six thousand, six hundred forty".