643653153125400 has 192 divisors, whose sum is σ = 2176982188686720. Its totient is φ = 156018185190400.

The previous prime is 643653153125377. The next prime is 643653153125441. The reversal of 643653153125400 is 4521351356346.

It is a self number, because there is not a number n which added to its sum of digits gives 643653153125400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48488284 + ... + 60319316.

It is an arithmetic number, because the mean of its divisors is an integer number (11338448899410).

Almost surely, 2^{643653153125400} is an apocalyptic number.

643653153125400 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 643653153125400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1088491094343360).

643653153125400 is an abundant number, since it is smaller than the sum of its proper divisors (1533329035561320).

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

643653153125400 is a wasteful number, since it uses less digits than its factorization.

643653153125400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11839306 (or 11839297 counting only the distinct ones).

The product of its (nonzero) digits is 3888000, while the sum is 48.

The spelling of 643653153125400 in words is "six hundred forty-three trillion, six hundred fifty-three billion, one hundred fifty-three million, one hundred twenty-five thousand, four hundred".