64415678544 has 320 divisors, whose sum is σ = 218576486400. Its totient is φ = 17781783552.

The previous prime is 64415678507. The next prime is 64415678573. The reversal of 64415678544 is 44587651446.

64415678544 is a `hidden beast` number, since 6 + 4 + 41 + 56 + 7 + 8 + 544 = 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11225244 + ... + 11230980.

It is an arithmetic number, because the mean of its divisors is an integer number (683051520).

Almost surely, 2^64415678544 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 64415678544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109288243200).

64415678544 is an abundant number, since it is smaller than the sum of its proper divisors (154160807856).

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

64415678544 is a wasteful number, since it uses less digits than its factorization.

64415678544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5887 (or 5875 counting only the distinct ones).

The product of its digits is 12902400, while the sum is 54.

The spelling of 64415678544 in words is "sixty-four billion, four hundred fifteen million, six hundred seventy-eight thousand, five hundred forty-four".