646149504000 has 2112 divisors, whose sum is σ = 2957923777536. Its totient is φ = 120913920000.

The previous prime is 646149503981. The next prime is 646149504019. The reversal of 646149504000 is 405941646.

It is an interprime number because it is at equal distance from previous prime (646149503981) and next prime (646149504019).

It is a tau number, because it is divible by the number of its divisors (2112).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 646149504000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 15759743980 + ... + 15759744020.

Almost surely, 2^646149504000 is an apocalyptic number.

646149504000 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 646149504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1478961888768).

646149504000 is an abundant number, since it is smaller than the sum of its proper divisors (2311774273536).

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

646149504000 is a wasteful number, since it uses less digits than its factorization.

646149504000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The spelling of 646149504000 in words is "six hundred forty-six billion, one hundred forty-nine million, five hundred four thousand".