3640284815760 has 240 divisors, whose sum is σ = 12442272036480. Its totient is φ = 953539153920.

The previous prime is 3640284815579. The next prime is 3640284815767. The reversal of 3640284815760 is 675184820463.

It is a happy number.

3640284815760 is a `hidden beast` number, since 3 + 6 + 4 + 0 + 28 + 48 + 1 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 3640284815697 and 3640284815706.

It is not an unprimeable number, because it can be changed into a prime (3640284815767) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55063525 + ... + 55129595.

It is an arithmetic number, because the mean of its divisors is an integer number (51842800152).

Almost surely, 2^{3640284815760} is an apocalyptic number.

3640284815760 is a gapful number since it is divisible by the number (30) 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 3640284815760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6221136018240).

3640284815760 is an abundant number, since it is smaller than the sum of its proper divisors (8801987220720).

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

3640284815760 is a wasteful number, since it uses less digits than its factorization.

3640284815760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67446 (or 67437 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 3640284815760 in words is "three trillion, six hundred forty billion, two hundred eighty-four million, eight hundred fifteen thousand, seven hundred sixty".