64172378874240 has 2304 divisors, whose sum is σ = 298147344768000. Its totient is φ = 12825601523712.

The previous prime is 64172378874211. The next prime is 64172378874269. The reversal of 64172378874240 is 4247887327146.

64172378874240 is a `hidden beast` number, since 6 + 4 + 17 + 2 + 378 + 8 + 7 + 4 + 240 = 666.

It is an interprime number because it is at equal distance from previous prime (64172378874211) and next prime (64172378874269).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 7260135741 + ... + 7260144579.

It is an arithmetic number, because the mean of its divisors is an integer number (129404229500).

Almost surely, 2^{64172378874240} is an apocalyptic number.

64172378874240 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 64172378874240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149073672384000).

64172378874240 is an abundant number, since it is smaller than the sum of its proper divisors (233974965893760).

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

64172378874240 is an equidigital number, since it uses as much as digits as its factorization.

64172378874240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8921 (or 8888 counting only the distinct ones).

The product of its (nonzero) digits is 101154816, while the sum is 63.

The spelling of 64172378874240 in words is "sixty-four trillion, one hundred seventy-two billion, three hundred seventy-eight million, eight hundred seventy-four thousand, two hundred forty".