64415917440 has 1152 divisors, whose sum is σ = 274271961600. Its totient is φ = 14401400832.

The previous prime is 64415917439. The next prime is 64415917469. The reversal of 64415917440 is 4471951446.

64415917440 is a `hidden beast` number, since 6 + 44 + 159 + 17 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 602017867 + ... + 602017973.

It is an arithmetic number, because the mean of its divisors is an integer number (238083300).

Almost surely, 2^64415917440 is an apocalyptic number.

64415917440 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 64415917440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137135980800).

64415917440 is an abundant number, since it is smaller than the sum of its proper divisors (209856044160).

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

64415917440 is a wasteful number, since it uses less digits than its factorization.

64415917440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 64415917440 in words is "sixty-four billion, four hundred fifteen million, nine hundred seventeen thousand, four hundred forty".