64377815040 has 1344 divisors, whose sum is σ = 293968514520. Its totient is φ = 13377208320.

The previous prime is 64377815017. The next prime is 64377815107. The reversal of 64377815040 is 4051877346.

64377815040 is a `hidden beast` number, since 64 + 3 + 7 + 7 + 81 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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 83 ways as a sum of consecutive naturals, for example, 5852528635 + ... + 5852528645.

Almost surely, 2^64377815040 is an apocalyptic number.

64377815040 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 64377815040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146984257260).

64377815040 is an abundant number, since it is smaller than the sum of its proper divisors (229590699480).

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

64377815040 is an frugal number, since it uses more digits than its factorization.

64377815040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 64377815040 in words is "sixty-four billion, three hundred seventy-seven million, eight hundred fifteen thousand, forty".