207305374864 has 225 divisors, whose sum is σ = 494724745529. Its totient is φ = 84140918400.

The previous prime is 207305374823. The next prime is 207305374883. The reversal of 207305374864 is 468473503702.

The square root of 207305374864 is 455308.

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

It can be written as a sum of positive squares in only one way, i.e., 199176549264 + 8128825600 = 446292^2 + 90160^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2052528414 + ... + 2052528514.

Almost surely, 2^207305374864 is an apocalyptic number.

207305374864 is the 455308-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 207305374864

207305374864 is an abundant number, since it is smaller than the sum of its proper divisors (287419370665).

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

207305374864 is an frugal number, since it uses more digits than its factorization.

207305374864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 49.

Multiplying 207305374864 by its sum of digits (49), we get a square (10157963368336 = 3187156²).

207305374864 divided by its sum of digits (49) gives a square (4230721936 = 65044²).

It can be divided in two parts, 207305 and 374864, that added together give a square (582169 = 763²).

The spelling of 207305374864 in words is "two hundred seven billion, three hundred five million, three hundred seventy-four thousand, eight hundred sixty-four".