646760142400 has 168 divisors, whose sum is σ = 1643882570496. Its totient is φ = 250189363200.

The previous prime is 646760142383. The next prime is 646760142407. The reversal of 646760142400 is 4241067646.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (646760142407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93095727 + ... + 93102673.

Almost surely, 2^646760142400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 646760142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (821941285248).

646760142400 is an abundant number, since it is smaller than the sum of its proper divisors (997122428096).

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

646760142400 is a wasteful number, since it uses less digits than its factorization.

646760142400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8877 (or 8862 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 40.

The spelling of 646760142400 in words is "six hundred forty-six billion, seven hundred sixty million, one hundred forty-two thousand, four hundred".