64005492672 has 336 divisors, whose sum is σ = 207642439680. Its totient is φ = 18674841600.

The previous prime is 64005492667. The next prime is 64005492763. The reversal of 64005492672 is 27629450046.

64005492672 is a `hidden beast` number, since 6 + 40 + 0 + 549 + 2 + 67 + 2 = 666.

64005492672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44978553 + ... + 44979975.

Almost surely, 2^64005492672 is an apocalyptic number.

64005492672 is a gapful number since it is divisible by the number (62) 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 64005492672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103821219840).

64005492672 is an abundant number, since it is smaller than the sum of its proper divisors (143636947008).

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

64005492672 is a wasteful number, since it uses less digits than its factorization.

64005492672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1712 (or 1699 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 64005492672 in words is "sixty-four billion, five million, four hundred ninety-two thousand, six hundred seventy-two".