207449520768 has 512 divisors, whose sum is σ = 716327884800. Its totient is φ = 57881640960.

The previous prime is 207449520667. The next prime is 207449520797. The reversal of 207449520768 is 867025944702.

207449520768 is a `hidden beast` number, since 2 + 0 + 7 + 4 + 49 + 520 + 76 + 8 = 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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 212332696 + ... + 212333672.

It is an arithmetic number, because the mean of its divisors is an integer number (1399077900).

Almost surely, 2^207449520768 is an apocalyptic number.

207449520768 is a gapful number since it is divisible by the number (28) 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 207449520768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358163942400).

207449520768 is an abundant number, since it is smaller than the sum of its proper divisors (508878364032).

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

207449520768 is a wasteful number, since it uses less digits than its factorization.

207449520768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1205 (or 1187 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 207449520768 in words is "two hundred seven billion, four hundred forty-nine million, five hundred twenty thousand, seven hundred sixty-eight".