6408626456100 has 288 divisors, whose sum is σ = 20709720243072. Its totient is φ = 1516976640000.

The previous prime is 6408626456051. The next prime is 6408626456131. The reversal of 6408626456100 is 16546268046.

It is a super-4 number, since 4×6408626456100⁴ (a number of 52 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 6408626456100.

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, 27461910 + ... + 27694290.

It is an arithmetic number, because the mean of its divisors is an integer number (71908750844).

Almost surely, 2^{6408626456100} is an apocalyptic number.

6408626456100 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 6408626456100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10354860121536).

6408626456100 is an abundant number, since it is smaller than the sum of its proper divisors (14301093786972).

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

6408626456100 is a wasteful number, since it uses less digits than its factorization.

6408626456100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232607 (or 232600 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 48.

The spelling of 6408626456100 in words is "six trillion, four hundred eight billion, six hundred twenty-six million, four hundred fifty-six thousand, one hundred".