363962800872 has 1152 divisors, whose sum is σ = 1271570227200. Its totient is φ = 96997824000.

The previous prime is 363962800871. The next prime is 363962800879. The reversal of 363962800872 is 278008269363.

It is a happy number.

363962800872 is a `hidden beast` number, since 3 + 6 + 3 + 9 + 628 + 0 + 0 + 8 + 7 + 2 = 666.

It is a super-2 number, since 2×363962800872² (a number of 24 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (363962800871) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5126236597 + ... + 5126236667.

It is an arithmetic number, because the mean of its divisors is an integer number (1103793600).

Almost surely, 2^363962800872 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 363962800872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635785113600).

363962800872 is an abundant number, since it is smaller than the sum of its proper divisors (907607426328).

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

363962800872 is a wasteful number, since it uses less digits than its factorization.

363962800872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 363962800872 in words is "three hundred sixty-three billion, nine hundred sixty-two million, eight hundred thousand, eight hundred seventy-two".