64678758144 has 1152 divisors, whose sum is σ = 252187084800. Its totient is φ = 14450688000.

The previous prime is 64678758139. The next prime is 64678758149. The reversal of 64678758144 is 44185787646.

It is an interprime number because it is at equal distance from previous prime (64678758139) and next prime (64678758149).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64678758149) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 640383694 + ... + 640383794.

It is an arithmetic number, because the mean of its divisors is an integer number (218912400).

Almost surely, 2^64678758144 is an apocalyptic number.

64678758144 is a gapful number since it is divisible by the number (64) 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 64678758144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126093542400).

64678758144 is an abundant number, since it is smaller than the sum of its proper divisors (187508326656).

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

64678758144 is a wasteful number, since it uses less digits than its factorization.

64678758144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 154 counting only the distinct ones).

The product of its digits is 36126720, while the sum is 60.

The spelling of 64678758144 in words is "sixty-four billion, six hundred seventy-eight million, seven hundred fifty-eight thousand, one hundred forty-four".