64138588746240 has 320 divisors, whose sum is σ = 213121999069056. Its totient is φ = 16440859164672.

The previous prime is 64138588746137. The next prime is 64138588746251. The reversal of 64138588746240 is 4264788583146.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×64138588746240² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22225564 + ... + 24944996.

Almost surely, 2^{64138588746240} is an apocalyptic number.

64138588746240 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 64138588746240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106560999534528).

64138588746240 is an abundant number, since it is smaller than the sum of its proper divisors (148983410322816).

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

64138588746240 is a wasteful number, since it uses less digits than its factorization.

64138588746240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2719579 (or 2719563 counting only the distinct ones).

The product of its (nonzero) digits is 247726080, while the sum is 66.

The spelling of 64138588746240 in words is "sixty-four trillion, one hundred thirty-eight billion, five hundred eighty-eight million, seven hundred forty-six thousand, two hundred forty".