365360642640 has 480 divisors, whose sum is σ = 1439328234240. Its totient is φ = 81333559296.

The previous prime is 365360642489. The next prime is 365360642657. The reversal of 365360642640 is 46246063563.

365360642640 is a `hidden beast` number, since 36 + 5 + 3 + 606 + 4 + 2 + 6 + 4 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 30047442 + ... + 30059598.

It is an arithmetic number, because the mean of its divisors is an integer number (2998600488).

Almost surely, 2^365360642640 is an apocalyptic number.

365360642640 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 365360642640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719664117120).

365360642640 is an abundant number, since it is smaller than the sum of its proper divisors (1073967591600).

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

365360642640 is a wasteful number, since it uses less digits than its factorization.

365360642640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12339 (or 12330 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 45.

The spelling of 365360642640 in words is "three hundred sixty-five billion, three hundred sixty million, six hundred forty-two thousand, six hundred forty".