4712020978176 has 480 divisors, whose sum is σ = 14994199059840. Its totient is φ = 1473989197824.

The previous prime is 4712020978169. The next prime is 4712020978177. The reversal of 4712020978176 is 6718790202174.

4712020978176 is a `hidden beast` number, since 471 + 2 + 0 + 2 + 0 + 97 + 81 + 7 + 6 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (4712020978177) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 151647570 + ... + 151678638.

It is an arithmetic number, because the mean of its divisors is an integer number (31237914708).

Almost surely, 2^{4712020978176} is an apocalyptic number.

4712020978176 is a gapful number since it is divisible by the number (46) 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 4712020978176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7497099529920).

4712020978176 is an abundant number, since it is smaller than the sum of its proper divisors (10282178081664).

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

4712020978176 is an equidigital number, since it uses as much as digits as its factorization.

4712020978176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31178 (or 31150 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 54.

The spelling of 4712020978176 in words is "four trillion, seven hundred twelve billion, twenty million, nine hundred seventy-eight thousand, one hundred seventy-six".