361490764320 has 288 divisors, whose sum is σ = 1413013859712. Its totient is φ = 82438926336.

The previous prime is 361490764289. The next prime is 361490764339. The reversal of 361490764320 is 23467094163.

361490764320 is a `hidden beast` number, since 3 + 6 + 149 + 0 + 76 + 432 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4424964 + ... + 4505916.

It is an arithmetic number, because the mean of its divisors is an integer number (4906298124).

Almost surely, 2^361490764320 is an apocalyptic number.

361490764320 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 361490764320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706506929856).

361490764320 is an abundant number, since it is smaller than the sum of its proper divisors (1051523095392).

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

361490764320 is a wasteful number, since it uses less digits than its factorization.

361490764320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81424 (or 81413 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 361490764320 in words is "three hundred sixty-one billion, four hundred ninety million, seven hundred sixty-four thousand, three hundred twenty".