64127503440 has 1920 divisors, whose sum is σ = 319179571200. Its totient is φ = 11600547840.

The previous prime is 64127503397. The next prime is 64127503487. The reversal of 64127503440 is 4430572146.

64127503440 is a `hidden beast` number, since 6 + 41 + 275 + 0 + 344 + 0 = 666.

It is a super-2 number, since 2×64127503440² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 64127503395 and 64127503404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 287567169 + ... + 287567391.

It is an arithmetic number, because the mean of its divisors is an integer number (166239360).

Almost surely, 2^64127503440 is an apocalyptic number.

64127503440 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 64127503440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159589785600).

64127503440 is an abundant number, since it is smaller than the sum of its proper divisors (255052067760).

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

64127503440 is a wasteful number, since it uses less digits than its factorization.

64127503440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 64127503440 in words is "sixty-four billion, one hundred twenty-seven million, five hundred three thousand, four hundred forty".