360993740800 has 864 divisors, whose sum is σ = 1155886018560. Its totient is φ = 110547763200.

The previous prime is 360993740771. The next prime is 360993740803. The reversal of 360993740800 is 8047399063.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (360993740803) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2842470337 + ... + 2842470463.

It is an arithmetic number, because the mean of its divisors is an integer number (1337831040).

Almost surely, 2^360993740800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 360993740800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577943009280).

360993740800 is an abundant number, since it is smaller than the sum of its proper divisors (794892277760).

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

360993740800 is a wasteful number, since it uses less digits than its factorization.

360993740800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 49.

The spelling of 360993740800 in words is "three hundred sixty billion, nine hundred ninety-three million, seven hundred forty thousand, eight hundred".