506700928800 has 864 divisors, whose sum is σ = 1990042629120. Its totient is φ = 120288000000.

The previous prime is 506700928787. The next prime is 506700928829. The reversal of 506700928800 is 8829007605.

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 143 ways as a sum of consecutive naturals, for example, 1411423021 + ... + 1411423379.

It is an arithmetic number, because the mean of its divisors is an integer number (2303290080).

Almost surely, 2^506700928800 is an apocalyptic number.

506700928800 is a gapful number since it is divisible by the number (50) 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 506700928800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (995021314560).

506700928800 is an abundant number, since it is smaller than the sum of its proper divisors (1483341700320).

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

506700928800 is a wasteful number, since it uses less digits than its factorization.

506700928800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 718 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 506700928800 in words is "five hundred six billion, seven hundred million, nine hundred twenty-eight thousand, eight hundred".