64014289920 has 396 divisors, whose sum is σ = 258030474624. Its totient is φ = 14631321600.

The previous prime is 64014289919. The next prime is 64014289957. The reversal of 64014289920 is 2998241046.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2243745 + ... + 2272095.

Almost surely, 2^64014289920 is an apocalyptic number.

64014289920 is a gapful number since it is divisible by the number (60) 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 64014289920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129015237312).

64014289920 is an abundant number, since it is smaller than the sum of its proper divisors (194016184704).

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

64014289920 is a wasteful number, since it uses less digits than its factorization.

64014289920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28396 (or 28368 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 64014289920 in words is "sixty-four billion, fourteen million, two hundred eighty-nine thousand, nine hundred twenty".