64294245512640 has 5040 divisors, whose sum is σ = 303340832910720. Its totient is φ = 12828503900160.

The previous prime is 64294245512611. The next prime is 64294245512683. The reversal of 64294245512640 is 4621554249246.

It is a happy number.

64294245512640 is a `hidden beast` number, since 6 + 4 + 2 + 9 + 4 + 24 + 551 + 2 + 64 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 3383907658551 + ... + 3383907658569.

Almost surely, 2^{64294245512640} is an apocalyptic number.

64294245512640 is a gapful number since it is divisible by the number (60) 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 64294245512640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151670416455360).

64294245512640 is an abundant number, since it is smaller than the sum of its proper divisors (239046587398080).

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

64294245512640 is a wasteful number, since it uses less digits than its factorization.

64294245512640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 54.

The spelling of 64294245512640 in words is "sixty-four trillion, two hundred ninety-four billion, two hundred forty-five million, five hundred twelve thousand, six hundred forty".