363406785546672 has 240 divisors, whose sum is σ = 1171524181082112. Its totient is φ = 103008802014720.

The previous prime is 363406785546619. The next prime is 363406785546691. The reversal of 363406785546672 is 276645587604363.

363406785546672 is a `hidden beast` number, since 3 + 6 + 3 + 4 + 0 + 6 + 7 + 8 + 5 + 546 + 6 + 72 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 363406785546672.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4677793813 + ... + 4677871499.

Almost surely, 2^{363406785546672} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 363406785546672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585762090541056).

363406785546672 is an abundant number, since it is smaller than the sum of its proper divisors (808117395535440).

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

363406785546672 is a wasteful number, since it uses less digits than its factorization.

363406785546672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114376 (or 114367 counting only the distinct ones).

The product of its (nonzero) digits is 3657830400, while the sum is 72.

The spelling of 363406785546672 in words is "three hundred sixty-three trillion, four hundred six billion, seven hundred eighty-five million, five hundred forty-six thousand, six hundred seventy-two".