361618199953920 has 2560 divisors, whose sum is σ = 1717826052096000. Its totient is φ = 69949422305280.

The previous prime is 361618199953897. The next prime is 361618199953937. The reversal of 361618199953920 is 29359991816163.

361618199953920 is a `hidden beast` number, since 3 + 6 + 1 + 6 + 1 + 81 + 9 + 9 + 9 + 539 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3704714076 + ... + 3704811684.

It is an arithmetic number, because the mean of its divisors is an integer number (671025801600).

Almost surely, 2^{361618199953920} is an apocalyptic number.

361618199953920 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 361618199953920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (858913026048000).

361618199953920 is an abundant number, since it is smaller than the sum of its proper divisors (1356207852142080).

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

361618199953920 is a wasteful number, since it uses less digits than its factorization.

361618199953920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97711 (or 97689 counting only the distinct ones).

The product of its (nonzero) digits is 170061120, while the sum is 72.

The spelling of 361618199953920 in words is "three hundred sixty-one trillion, six hundred eighteen billion, one hundred ninety-nine million, nine hundred fifty-three thousand, nine hundred twenty".