364048110720 has 1440 divisors, whose sum is σ = 1600146347580. Its totient is φ = 78632902656.

The previous prime is 364048110649. The next prime is 364048110757. The reversal of 364048110720 is 27011840463.

364048110720 is a `hidden beast` number, since 3 + 640 + 4 + 8 + 1 + 1 + 0 + 7 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 363956410944 + 91699776 = 603288^2 + 9576^2 .

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 916997562 + ... + 916997958.

Almost surely, 2^364048110720 is an apocalyptic number.

364048110720 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 364048110720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (800073173790).

364048110720 is an abundant number, since it is smaller than the sum of its proper divisors (1236098236860).

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

364048110720 is a wasteful number, since it uses less digits than its factorization.

364048110720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 364048110720 in words is "three hundred sixty-four billion, forty-eight million, one hundred ten thousand, seven hundred twenty".