361521370080 has 1152 divisors, whose sum is σ = 1430516505600. Its totient is φ = 82492784640.

The previous prime is 361521370073. The next prime is 361521370139. The reversal of 361521370080 is 80073125163.

361521370080 is a `hidden beast` number, since 3 + 61 + 521 + 3 + 70 + 0 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2426317846 + ... + 2426317994.

It is an arithmetic number, because the mean of its divisors is an integer number (1241767800).

Almost surely, 2^361521370080 is an apocalyptic number.

361521370080 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 361521370080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715258252800).

361521370080 is an abundant number, since it is smaller than the sum of its proper divisors (1068995135520).

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

361521370080 is a wasteful number, since it uses less digits than its factorization.

361521370080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 361521370080 in words is "three hundred sixty-one billion, five hundred twenty-one million, three hundred seventy thousand, eighty".