64477325131740 has 288 divisors, whose sum is σ = 202456767606912. Its totient is φ = 16598522880000.

The previous prime is 64477325131729. The next prime is 64477325131759. The reversal of 64477325131740 is 4713152377446.

It is a happy number.

64477325131740 is a `hidden beast` number, since 6 + 4 + 4 + 7 + 73 + 2 + 513 + 17 + 40 = 666.

It is a super-2 number, since 2×64477325131740² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1282773849 + ... + 1282824111.

It is an arithmetic number, because the mean of its divisors is an integer number (702974887524).

Almost surely, 2^{64477325131740} is an apocalyptic number.

64477325131740 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 64477325131740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101228383803456).

64477325131740 is an abundant number, since it is smaller than the sum of its proper divisors (137979442475172).

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

64477325131740 is a wasteful number, since it uses less digits than its factorization.

64477325131740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52141 (or 52136 counting only the distinct ones).

The product of its (nonzero) digits is 11854080, while the sum is 54.

The spelling of 64477325131740 in words is "sixty-four trillion, four hundred seventy-seven billion, three hundred twenty-five million, one hundred thirty-one thousand, seven hundred forty".