645321203049600 has 3456 divisors, whose sum is σ = 3022249762920960. Its totient is φ = 129514291200000.

The previous prime is 645321203049599. The next prime is 645321203049647. The reversal of 645321203049600 is 6940302123546.

645321203049600 is a `hidden beast` number, since 6 + 4 + 5 + 3 + 2 + 1 + 2 + 0 + 30 + 4 + 9 + 600 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 337334658244 + ... + 337334660156.

It is an arithmetic number, because the mean of its divisors is an integer number (874493565660).

Almost surely, 2^{645321203049600} is an apocalyptic number.

645321203049600 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 645321203049600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1511124881460480).

645321203049600 is an abundant number, since it is smaller than the sum of its proper divisors (2376928559871360).

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

645321203049600 is a wasteful number, since it uses less digits than its factorization.

645321203049600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2700 (or 2673 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 645321203049600 in words is "six hundred forty-five trillion, three hundred twenty-one billion, two hundred three million, forty-nine thousand, six hundred".