64760403197952 has 1520 divisors, whose sum is σ = 243702153564672. Its totient is φ = 16717688340480.

The previous prime is 64760403197939. The next prime is 64760403197983. The reversal of 64760403197952 is 25979130406746.

64760403197952 is a `hidden beast` number, since 6 + 4 + 7 + 604 + 0 + 3 + 19 + 7 + 9 + 5 + 2 = 666.

It is a super-2 number, since 2×64760403197952² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 64760403197952.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 397303087023 + ... + 397303087185.

Almost surely, 2^{64760403197952} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64760403197952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121851076782336).

64760403197952 is an abundant number, since it is smaller than the sum of its proper divisors (178941750366720).

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

64760403197952 is an frugal number, since it uses more digits than its factorization.

64760403197952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 68584320, while the sum is 63.

The spelling of 64760403197952 in words is "sixty-four trillion, seven hundred sixty billion, four hundred three million, one hundred ninety-seven thousand, nine hundred fifty-two".