64360074240 has 1584 divisors, whose sum is σ = 299676476736. Its totient is φ = 12457082880.

The previous prime is 64360074239. The next prime is 64360074281. The reversal of 64360074240 is 4247006346.

64360074240 is a `hidden beast` number, since 6 + 4 + 3 + 600 + 7 + 4 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1584).

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 = 64360074195 and 64360074204.

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, 663505872 + ... + 663505968.

Almost surely, 2^64360074240 is an apocalyptic number.

64360074240 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 64360074240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149838238368).

64360074240 is an abundant number, since it is smaller than the sum of its proper divisors (235316402496).

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

64360074240 is a wasteful number, since it uses less digits than its factorization.

64360074240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The spelling of 64360074240 in words is "sixty-four billion, three hundred sixty million, seventy-four thousand, two hundred forty".