320603106758400 has 1296 divisors, whose sum is σ = 1195429321876608. Its totient is φ = 85010466816000.

The previous prime is 320603106758381. The next prime is 320603106758411. The reversal of 320603106758400 is 4857601306023.

320603106758400 is a `hidden beast` number, since 3 + 2 + 0 + 6 + 0 + 3 + 1 + 0 + 67 + 584 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

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 a congruent number.

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, 302170693870 + ... + 302170694930.

Almost surely, 2^{320603106758400} is an apocalyptic number.

320603106758400 is a gapful number since it is divisible by the number (30) 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 320603106758400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597714660938304).

320603106758400 is an abundant number, since it is smaller than the sum of its proper divisors (874826215118208).

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

320603106758400 is a wasteful number, since it uses less digits than its factorization.

320603106758400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2020 (or 1989 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 320603106758400 in words is "three hundred twenty trillion, six hundred three billion, one hundred six million, seven hundred fifty-eight thousand, four hundred".