64839501354240 has 1296 divisors, whose sum is σ = 242702810663040. Its totient is φ = 16580631674880.

The previous prime is 64839501354223. The next prime is 64839501354281. The reversal of 64839501354240 is 4245310593846.

It is a happy number.

64839501354240 is a `hidden beast` number, since 6 + 4 + 8 + 3 + 9 + 50 + 1 + 3 + 542 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 22061754691 + ... + 22061757629.

It is an arithmetic number, because the mean of its divisors is an integer number (187270687240).

Almost surely, 2^{64839501354240} is an apocalyptic number.

64839501354240 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 64839501354240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121351405331520).

64839501354240 is an abundant number, since it is smaller than the sum of its proper divisors (177863309308800).

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

64839501354240 is an frugal number, since it uses more digits than its factorization.

64839501354240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3092 (or 3057 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 64839501354240 in words is "sixty-four trillion, eight hundred thirty-nine billion, five hundred one million, three hundred fifty-four thousand, two hundred forty".