977480524800 has 2112 divisors, whose sum is σ = 4196081433600. Its totient is φ = 223590481920.

The previous prime is 977480524759. The next prime is 977480524807. The reversal of 977480524800 is 8425084779.

It is a happy number.

977480524800 is a `hidden beast` number, since 9 + 77 + 48 + 0 + 52 + 480 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (977480524807) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12373171161 + ... + 12373171239.

Almost surely, 2^977480524800 is an apocalyptic number.

977480524800 is a gapful number since it is divisible by the number (90) 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 977480524800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2098040716800).

977480524800 is an abundant number, since it is smaller than the sum of its proper divisors (3218600908800).

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

977480524800 is a wasteful number, since it uses less digits than its factorization.

977480524800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 977480524800 in words is "nine hundred seventy-seven billion, four hundred eighty million, five hundred twenty-four thousand, eight hundred".