361464979680 has 480 divisors, whose sum is σ = 1475936532000. Its totient is φ = 82618195968.

The previous prime is 361464979679. The next prime is 361464979693. The reversal of 361464979680 is 86979464163.

361464979680 is a `hidden beast` number, since 3 + 6 + 1 + 464 + 9 + 7 + 96 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10354896 + ... + 10389744.

It is an arithmetic number, because the mean of its divisors is an integer number (3074867775).

Almost surely, 2^361464979680 is an apocalyptic number.

361464979680 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 361464979680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737968266000).

361464979680 is an abundant number, since it is smaller than the sum of its proper divisors (1114471552320).

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

361464979680 is an equidigital number, since it uses as much as digits as its factorization.

361464979680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34901 (or 34866 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 361464979680 in words is "three hundred sixty-one billion, four hundred sixty-four million, nine hundred seventy-nine thousand, six hundred eighty".