645774249600 has 1152 divisors, whose sum is σ = 2544790248000. Its totient is φ = 161243136000.

The previous prime is 645774249587. The next prime is 645774249611. The reversal of 645774249600 is 6942477546.

645774249600 is a `hidden beast` number, since 6 + 4 + 5 + 7 + 7 + 4 + 24 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1610409400 + ... + 1610409800.

Almost surely, 2^645774249600 is an apocalyptic number.

645774249600 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 645774249600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1272395124000).

645774249600 is an abundant number, since it is smaller than the sum of its proper divisors (1899015998400).

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

645774249600 is a wasteful number, since it uses less digits than its factorization.

645774249600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 645774249600 in words is "six hundred forty-five billion, seven hundred seventy-four million, two hundred forty-nine thousand, six hundred".