64468377396720 has 320 divisors, whose sum is σ = 242382686515200. Its totient is φ = 15619802434560.

The previous prime is 64468377396637. The next prime is 64468377396727. The reversal of 64468377396720 is 2769377386446.

64468377396720 is a `hidden beast` number, since 6 + 4 + 468 + 3 + 7 + 7 + 3 + 96 + 72 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64468377396727) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41022574 + ... + 42565106.

It is an arithmetic number, because the mean of its divisors is an integer number (757445895360).

Almost surely, 2^{64468377396720} is an apocalyptic number.

64468377396720 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 64468377396720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121191343257600).

64468377396720 is an abundant number, since it is smaller than the sum of its proper divisors (177914309118480).

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

64468377396720 is a wasteful number, since it uses less digits than its factorization.

64468377396720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1544325 (or 1544313 counting only the distinct ones).

The product of its (nonzero) digits is 1536288768, while the sum is 72.

The spelling of 64468377396720 in words is "sixty-four trillion, four hundred sixty-eight billion, three hundred seventy-seven million, three hundred ninety-six thousand, seven hundred twenty".