643292876407104 has 1792 divisors, whose sum is σ = 2563397627535360. Its totient is φ = 153072050503680.

The previous prime is 643292876407003. The next prime is 643292876407123. The reversal of 643292876407104 is 401704678292346.

643292876407104 is a `hidden beast` number, since 6 + 4 + 32 + 9 + 28 + 76 + 407 + 104 = 666.

It is a super-2 number, since 2×643292876407104² (a number of 30 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 28498321962 + ... + 28498344534.

It is an arithmetic number, because the mean of its divisors is an integer number (1430467426080).

Almost surely, 2^{643292876407104} is an apocalyptic number.

643292876407104 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 643292876407104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1281698813767680).

643292876407104 is an abundant number, since it is smaller than the sum of its proper divisors (1920104751128256).

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

643292876407104 is a wasteful number, since it uses less digits than its factorization.

643292876407104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22965 (or 22949 counting only the distinct ones).

The product of its (nonzero) digits is 97542144, while the sum is 63.

The spelling of 643292876407104 in words is "six hundred forty-three trillion, two hundred ninety-two billion, eight hundred seventy-six million, four hundred seven thousand, one hundred four".