361478830680 has 256 divisors, whose sum is σ = 1317072960000. Its totient is φ = 87457605120.

The previous prime is 361478830597. The next prime is 361478830681. The reversal of 361478830680 is 86038874163.

361478830680 is a `hidden beast` number, since 3 + 61 + 478 + 8 + 30 + 6 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (361478830681) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 6017031 + ... + 6076809.

It is an arithmetic number, because the mean of its divisors is an integer number (5144816250).

Almost surely, 2^361478830680 is an apocalyptic number.

361478830680 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 361478830680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658536480000).

361478830680 is an abundant number, since it is smaller than the sum of its proper divisors (955594129320).

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

361478830680 is a wasteful number, since it uses less digits than its factorization.

361478830680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60319 (or 60309 counting only the distinct ones).

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

The spelling of 361478830680 in words is "three hundred sixty-one billion, four hundred seventy-eight million, eight hundred thirty thousand, six hundred eighty".