368988721920 has 2160 divisors, whose sum is σ = 1709966478528. Its totient is φ = 75246796800.

The previous prime is 368988721903. The next prime is 368988721951. The reversal of 368988721920 is 29127889863.

368988721920 is a `hidden beast` number, since 368 + 9 + 8 + 87 + 2 + 192 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2443633845 + ... + 2443633995.

Almost surely, 2^368988721920 is an apocalyptic number.

368988721920 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 368988721920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (854983239264).

368988721920 is an abundant number, since it is smaller than the sum of its proper divisors (1340977756608).

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

368988721920 is a wasteful number, since it uses less digits than its factorization.

368988721920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 368988721920 in words is "three hundred sixty-eight billion, nine hundred eighty-eight million, seven hundred twenty-one thousand, nine hundred twenty".