64398458880 has 768 divisors, whose sum is σ = 270880796160. Its totient is φ = 13816037376.

The previous prime is 64398458857. The next prime is 64398458903. The reversal of 64398458880 is 8885489346.

64398458880 is a `hidden beast` number, since 6 + 43 + 9 + 8 + 4 + 588 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (64398458857) and next prime (64398458903).

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×64398458880² (a number of 22 digits) contains 22 as substring.

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

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, 175472457 + ... + 175472823.

It is an arithmetic number, because the mean of its divisors is an integer number (352709370).

Almost surely, 2^64398458880 is an apocalyptic number.

64398458880 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 64398458880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135440398080).

64398458880 is an abundant number, since it is smaller than the sum of its proper divisors (206482337280).

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

64398458880 is a wasteful number, since it uses less digits than its factorization.

64398458880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 53084160, while the sum is 63.

The spelling of 64398458880 in words is "sixty-four billion, three hundred ninety-eight million, four hundred fifty-eight thousand, eight hundred eighty".