360749919888960 has 1344 divisors, whose sum is σ = 1422709054292736. Its totient is φ = 76950601728000.

The previous prime is 360749919888947. The next prime is 360749919888971. The reversal of 360749919888960 is 69888919947063.

It is a tau number, because it is divible by the number of its divisors (1344).

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, 142532562895 + ... + 142532565425.

It is an arithmetic number, because the mean of its divisors is an integer number (1058563284444).

Almost surely, 2^{360749919888960} is an apocalyptic number.

360749919888960 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 360749919888960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711354527146368).

360749919888960 is an abundant number, since it is smaller than the sum of its proper divisors (1061959134403776).

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

360749919888960 is a wasteful number, since it uses less digits than its factorization.

360749919888960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4020 (or 4003 counting only the distinct ones).

The product of its (nonzero) digits is 10158317568, while the sum is 87.

The spelling of 360749919888960 in words is "three hundred sixty trillion, seven hundred forty-nine billion, nine hundred nineteen million, eight hundred eighty-eight thousand, nine hundred sixty".