4770462703680 has 672 divisors, whose sum is σ = 17844636700800. Its totient is φ = 1211389820928.

The previous prime is 4770462703661. The next prime is 4770462703751. The reversal of 4770462703680 is 863072640774.

4770462703680 is a `hidden beast` number, since 4 + 7 + 7 + 0 + 4 + 6 + 270 + 368 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 164603431 + ... + 164632409.

It is an arithmetic number, because the mean of its divisors is an integer number (26554518900).

Almost surely, 2^{4770462703680} is an apocalyptic number.

4770462703680 is a gapful number since it is divisible by the number (40) 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 4770462703680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8922318350400).

4770462703680 is an abundant number, since it is smaller than the sum of its proper divisors (13074173997120).

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

4770462703680 is a wasteful number, since it uses less digits than its factorization.

4770462703680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29113 (or 29091 counting only the distinct ones).

The product of its (nonzero) digits is 9483264, while the sum is 54.

The spelling of 4770462703680 in words is "four trillion, seven hundred seventy billion, four hundred sixty-two million, seven hundred three thousand, six hundred eighty".