363240620460 has 144 divisors (see below), whose sum is σ = 1110589081056. Its totient is φ = 96097176576.

The previous prime is 363240620447. The next prime is 363240620461. The reversal of 363240620460 is 64026042363.

363240620460 is a `hidden beast` number, since 3 + 6 + 3 + 24 + 0 + 620 + 4 + 6 + 0 = 666.

It is a super-2 number, since 2×363240620460² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (363240620461) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11601747 + ... + 11633013.

It is an arithmetic number, because the mean of its divisors is an integer number (7712424174).

Almost surely, 2^363240620460 is an apocalyptic number.

363240620460 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 363240620460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555294540528).

363240620460 is an abundant number, since it is smaller than the sum of its proper divisors (747348460596).

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

363240620460 is a wasteful number, since it uses less digits than its factorization.

363240620460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31792 (or 31787 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

The spelling of 363240620460 in words is "three hundred sixty-three billion, two hundred forty million, six hundred twenty thousand, four hundred sixty".