64386628992 has 384 divisors, whose sum is σ = 219940331520. Its totient is φ = 17691955200.

The previous prime is 64386628987. The next prime is 64386629017. The reversal of 64386628992 is 29982668346.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

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, 45246393 + ... + 45247815.

It is an arithmetic number, because the mean of its divisors is an integer number (572761280).

Almost surely, 2^64386628992 is an apocalyptic number.

64386628992 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 64386628992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109970165760).

64386628992 is an abundant number, since it is smaller than the sum of its proper divisors (155553702528).

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

64386628992 is a wasteful number, since it uses less digits than its factorization.

64386628992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1662 (or 1647 counting only the distinct ones).

The product of its digits is 53747712, while the sum is 63.

The spelling of 64386628992 in words is "sixty-four billion, three hundred eighty-six million, six hundred twenty-eight thousand, nine hundred ninety-two".