363949824672 has 1152 divisors, whose sum is σ = 1363072209408. Its totient is φ = 93162700800.

The previous prime is 363949824647. The next prime is 363949824743. The reversal of 363949824672 is 276428949363.

363949824672 is a `hidden beast` number, since 3 + 6 + 3 + 94 + 9 + 82 + 467 + 2 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (94058496) is a multiple of the sum of its prime factors (324).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2010772422 + ... + 2010772602.

It is an arithmetic number, because the mean of its divisors is an integer number (1183222404).

Almost surely, 2^363949824672 is an apocalyptic number.

363949824672 is a gapful number since it is divisible by the number (32) 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 363949824672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681536104704).

363949824672 is an abundant number, since it is smaller than the sum of its proper divisors (999122384736).

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

363949824672 is a wasteful number, since it uses less digits than its factorization.

363949824672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 304 counting only the distinct ones).

The product of its digits is 94058496, while the sum is 63.

The spelling of 363949824672 in words is "three hundred sixty-three billion, nine hundred forty-nine million, eight hundred twenty-four thousand, six hundred seventy-two".