64701491890560 has 1024 divisors, whose sum is σ = 244880577976320. Its totient is φ = 14223985606656.

The previous prime is 64701491890543. The next prime is 64701491890573. The reversal of 64701491890560 is 6509819410746.

It is a super-2 number, since 2×64701491890560² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 64701491890494 and 64701491890503.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 47124174034 + ... + 47124175406.

It is an arithmetic number, because the mean of its divisors is an integer number (239141189430).

Almost surely, 2^{64701491890560} is an apocalyptic number.

64701491890560 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 64701491890560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122440288988160).

64701491890560 is an abundant number, since it is smaller than the sum of its proper divisors (180179086085760).

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

64701491890560 is a wasteful number, since it uses less digits than its factorization.

64701491890560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2635 (or 2623 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 60.

The spelling of 64701491890560 in words is "sixty-four trillion, seven hundred one billion, four hundred ninety-one million, eight hundred ninety thousand, five hundred sixty".