645379246080 has 384 divisors, whose sum is σ = 2297338243200. Its totient is φ = 171859968000.

The previous prime is 645379246049. The next prime is 645379246093. The reversal of 645379246080 is 80642973546.

645379246080 is a `hidden beast` number, since 6 + 4 + 5 + 3 + 7 + 9 + 24 + 608 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 31 ways as a sum of consecutive naturals, for example, 290579370 + ... + 290581590.

It is an arithmetic number, because the mean of its divisors is an integer number (5982651675).

Almost surely, 2^645379246080 is an apocalyptic number.

645379246080 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 645379246080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1148669121600).

645379246080 is an abundant number, since it is smaller than the sum of its proper divisors (1651958997120).

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

645379246080 is a wasteful number, since it uses less digits than its factorization.

645379246080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3308 (or 3282 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 645379246080 in words is "six hundred forty-five billion, three hundred seventy-nine million, two hundred forty-six thousand, eighty".