64251742464 has 648 divisors, whose sum is σ = 241909362240. Its totient is φ = 15927238656.

The previous prime is 64251742459. The next prime is 64251742487. The reversal of 64251742464 is 46424715246.

It is a happy number.

64251742464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×64251742464³ (a number of 33 digits) contains 333 as substring.

Its product of digits (1290240) is a multiple of the sum of its prime factors (315).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 505919169 + ... + 505919295.

Almost surely, 2^64251742464 is an apocalyptic number.

64251742464 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 64251742464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120954681120).

64251742464 is an abundant number, since it is smaller than the sum of its proper divisors (177657619776).

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

64251742464 is a wasteful number, since it uses less digits than its factorization.

64251742464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 171 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 45.

The spelling of 64251742464 in words is "sixty-four billion, two hundred fifty-one million, seven hundred forty-two thousand, four hundred sixty-four".