642516041504640 has 128 divisors (see below), whose sum is σ = 2048050837764000. Its totient is φ = 171335021330432.

The previous prime is 642516041504627. The next prime is 642516041504641. The reversal of 642516041504640 is 46405140615246.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×642516041504640² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 642516041504640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642516041504641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 126238564 + ... + 131229596.

Almost surely, 2^{642516041504640} is an apocalyptic number.

642516041504640 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

642516041504640 is an abundant number, since it is smaller than the sum of its proper divisors (1405534796259360).

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

642516041504640 is a wasteful number, since it uses less digits than its factorization.

642516041504640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5058104 (or 5058092 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 48.

The spelling of 642516041504640 in words is "six hundred forty-two trillion, five hundred sixteen billion, forty-one million, five hundred four thousand, six hundred forty".