369407884560 has 1280 divisors, whose sum is σ = 1484185006080. Its totient is φ = 74649600000.

The previous prime is 369407884529. The next prime is 369407884607. The reversal of 369407884560 is 65488704963.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 369407884494 and 369407884503.

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 255 ways as a sum of consecutive naturals, for example, 1471744435 + ... + 1471744685.

It is an arithmetic number, because the mean of its divisors is an integer number (1159519536).

Almost surely, 2^369407884560 is an apocalyptic number.

369407884560 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 369407884560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742092503040).

369407884560 is an abundant number, since it is smaller than the sum of its proper divisors (1114777121520).

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

369407884560 is a wasteful number, since it uses less digits than its factorization.

369407884560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 60.

The spelling of 369407884560 in words is "three hundred sixty-nine billion, four hundred seven million, eight hundred eighty-four thousand, five hundred sixty".