64084353984 has 560 divisors, whose sum is σ = 234207832320. Its totient is φ = 16915599360.

The previous prime is 64084353953. The next prime is 64084353989. The reversal of 64084353984 is 48935348046.

64084353984 is a `hidden beast` number, since 64 + 0 + 8 + 43 + 539 + 8 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 64084353984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64084353989) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 28267219 + ... + 28269485.

It is an arithmetic number, because the mean of its divisors is an integer number (418228272).

Almost surely, 2^64084353984 is an apocalyptic number.

64084353984 is a gapful number since it is divisible by the number (64) 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 64084353984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117103916160).

64084353984 is an abundant number, since it is smaller than the sum of its proper divisors (170123478336).

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

64084353984 is a wasteful number, since it uses less digits than its factorization.

64084353984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2358 (or 2339 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 64084353984 in words is "sixty-four billion, eighty-four million, three hundred fifty-three thousand, nine hundred eighty-four".