645876831600 has 2160 divisors, whose sum is σ = 3207876182784. Its totient is φ = 116453376000.

The previous prime is 645876831563. The next prime is 645876831659. The reversal of 645876831600 is 6138678546.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 796395195 + ... + 796396005.

Almost surely, 2^645876831600 is an apocalyptic number.

645876831600 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 645876831600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1603938091392).

645876831600 is an abundant number, since it is smaller than the sum of its proper divisors (2561999351184).

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

645876831600 is a wasteful number, since it uses less digits than its factorization.

645876831600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 896 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 645876831600 in words is "six hundred forty-five billion, eight hundred seventy-six million, eight hundred thirty-one thousand, six hundred".