4687865861904 has 225 divisors, whose sum is σ = 13699008446277. Its totient is φ = 1547682432768.

The previous prime is 4687865861821. The next prime is 4687865861909. The reversal of 4687865861904 is 4091685687864.

The square root of 4687865861904 is 2165148.

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

4687865861904 is a `hidden beast` number, since 468 + 7 + 86 + 5 + 86 + 1 + 9 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2753674736400 + 1934191125504 = 1659420^2 + 1390752^2 .

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

It is not an unprimeable number, because it can be changed into a prime (4687865861909) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 10678509717 + ... + 10678510155.

Almost surely, 2^{4687865861904} is an apocalyptic number.

4687865861904 is the 2165148-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4687865861904

4687865861904 is an abundant number, since it is smaller than the sum of its proper divisors (9011142584373).

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

4687865861904 is an frugal number, since it uses more digits than its factorization.

4687865861904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1172 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 557383680, while the sum is 72.

The spelling of 4687865861904 in words is "four trillion, six hundred eighty-seven billion, eight hundred sixty-five million, eight hundred sixty-one thousand, nine hundred four".