360979950240 has 1152 divisors, whose sum is σ = 1638555609600. Its totient is φ = 71660961792.

The previous prime is 360979950229. The next prime is 360979950277. The reversal of 360979950240 is 42059979063.

360979950240 is a `hidden beast` number, since 3 + 6 + 0 + 9 + 7 + 99 + 502 + 40 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 109154667 + ... + 109157973.

It is an arithmetic number, because the mean of its divisors is an integer number (1422357300).

Almost surely, 2^360979950240 is an apocalyptic number.

360979950240 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 360979950240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819277804800).

360979950240 is an abundant number, since it is smaller than the sum of its proper divisors (1277575659360).

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

360979950240 is a wasteful number, since it uses less digits than its factorization.

360979950240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3379 (or 3354 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 54.

The spelling of 360979950240 in words is "three hundred sixty billion, nine hundred seventy-nine million, nine hundred fifty thousand, two hundred forty".