64890408960 has 1248 divisors, whose sum is σ = 270483857280. Its totient is φ = 14778630144.

The previous prime is 64890408949. The next prime is 64890409061. The reversal of 64890408960 is 6980409846.

64890408960 is a `hidden beast` number, since 64 + 8 + 90 + 408 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1248).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 64890408897 and 64890408906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1099837411 + ... + 1099837469.

It is an arithmetic number, because the mean of its divisors is an integer number (216733860).

Almost surely, 2^64890408960 is an apocalyptic number.

64890408960 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 64890408960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135241928640).

64890408960 is an abundant number, since it is smaller than the sum of its proper divisors (205593448320).

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

64890408960 is a wasteful number, since it uses less digits than its factorization.

64890408960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 64890408960 in words is "sixty-four billion, eight hundred ninety million, four hundred eight thousand, nine hundred sixty".