4715826204960 has 144 divisors (see below), whose sum is σ = 17330661372024. Its totient is φ = 1160818753536.

The previous prime is 4715826204931. The next prime is 4715826204997. The reversal of 4715826204960 is 694026285174.

4715826204960 is a `hidden beast` number, since 4 + 7 + 1 + 5 + 8 + 2 + 620 + 4 + 9 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3580859843856 + 1134966361104 = 1892316^2 + 1065348^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 4715826204897 and 4715826204906.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 125938177 + ... + 125975616.

Almost surely, 2^{4715826204960} is an apocalyptic number.

4715826204960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4715826204960 is an abundant number, since it is smaller than the sum of its proper divisors (12614835167064).

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

4715826204960 is a wasteful number, since it uses less digits than its factorization.

4715826204960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251913827 (or 251913816 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 4715826204960 in words is "four trillion, seven hundred fifteen billion, eight hundred twenty-six million, two hundred four thousand, nine hundred sixty".