4735741982976 has 81 divisors (see below), whose sum is σ = 13654612809201. Its totient is φ = 1578545842176.

The previous prime is 4735741982963. The next prime is 4735741983043. The reversal of 4735741982976 is 6792891475374.

The square root of 4735741982976 is 2176176.

It is a perfect power (a square), and thus also a powerful number.

4735741982976 is a `hidden beast` number, since 4 + 73 + 57 + 419 + 8 + 2 + 97 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3308615481600 + 1427126501376 = 1818960^2 + 1194624^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 104433780 + ... + 104479116.

Almost surely, 2^{4735741982976} is an apocalyptic number.

4735741982976 is the 2176176-th square number.

It is an amenable number.

4735741982976 is an abundant number, since it is smaller than the sum of its proper divisors (8918870826225).

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

4735741982976 is an frugal number, since it uses more digits than its factorization.

4735741982976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90696 (or 45342 counting only the distinct ones).

The product of its digits is 640120320, while the sum is 72.

The spelling of 4735741982976 in words is "four trillion, seven hundred thirty-five billion, seven hundred forty-one million, nine hundred eighty-two thousand, nine hundred seventy-six".