361764245606400 has 3120 divisors, whose sum is σ = 1702619723363328. Its totient is φ = 73861300224000.

The previous prime is 361764245606377. The next prime is 361764245606459. The reversal of 361764245606400 is 4606542467163.

It is a happy number.

361764245606400 is a `hidden beast` number, since 3 + 6 + 1 + 7 + 6 + 4 + 24 + 5 + 606 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3120).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 23398494670 + ... + 23398510130.

Almost surely, 2^{361764245606400} is an apocalyptic number.

361764245606400 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 361764245606400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (851309861681664).

361764245606400 is an abundant number, since it is smaller than the sum of its proper divisors (1340855477756928).

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

361764245606400 is a wasteful number, since it uses less digits than its factorization.

361764245606400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15558 (or 15522 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 54.

The spelling of 361764245606400 in words is "three hundred sixty-one trillion, seven hundred sixty-four billion, two hundred forty-five million, six hundred six thousand, four hundred".