361582596872640 has 2240 divisors, whose sum is σ = 1601339174443008. Its totient is φ = 76088446156800.

The previous prime is 361582596872621. The next prime is 361582596872663. The reversal of 361582596872640 is 46278695285163.

361582596872640 is a `hidden beast` number, since 3 + 6 + 1 + 5 + 8 + 2 + 596 + 8 + 7 + 26 + 4 + 0 = 666.

It is a super-2 number, since 2×361582596872640² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 117894552387 + ... + 117894555453.

It is a 2-persistent number, because it is pandigital, and so is 2⋅361582596872640 = 723165193745280, but 3⋅361582596872640 = 1084747790617920 is not.

Almost surely, 2^{361582596872640} is an apocalyptic number.

361582596872640 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 361582596872640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (800669587221504).

361582596872640 is an abundant number, since it is smaller than the sum of its proper divisors (1239756577570368).

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

361582596872640 is a wasteful number, since it uses less digits than its factorization.

361582596872640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5008 (or 4989 counting only the distinct ones).

The product of its (nonzero) digits is 1045094400, while the sum is 72.

The spelling of 361582596872640 in words is "three hundred sixty-one trillion, five hundred eighty-two billion, five hundred ninety-six million, eight hundred seventy-two thousand, six hundred forty".