361008947220480 has 624 divisors, whose sum is σ = 1364661185422080. Its totient is φ = 87738837368832.

The previous prime is 361008947220469. The next prime is 361008947220533. The reversal of 361008947220480 is 84022749800163.

361008947220480 is a `hidden beast` number, since 3 + 6 + 1 + 0 + 0 + 8 + 94 + 72 + 2 + 0 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (624).

It is a congruent number.

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, 188343087 + ... + 190250193.

It is an arithmetic number, because the mean of its divisors is an integer number (2186957027920).

Almost surely, 2^{361008947220480} is an apocalyptic number.

361008947220480 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 361008947220480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682330592711040).

361008947220480 is an abundant number, since it is smaller than the sum of its proper divisors (1003652238201600).

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

361008947220480 is a wasteful number, since it uses less digits than its factorization.

361008947220480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1907234 (or 1907209 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 361008947220480 in words is "three hundred sixty-one trillion, eight billion, nine hundred forty-seven million, two hundred twenty thousand, four hundred eighty".