368479631520 has 3072 divisors, whose sum is σ = 1853300736000. Its totient is φ = 67304079360.

The previous prime is 368479631503. The next prime is 368479631521. The reversal of 368479631520 is 25136974863.

368479631520 is a `hidden beast` number, since 3 + 6 + 84 + 7 + 9 + 6 + 31 + 520 = 666.

It is a super-2 number, since 2×368479631520² (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 (368479631521) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 7839992137 + ... + 7839992183.

It is an arithmetic number, because the mean of its divisors is an integer number (603288000).

It is a 1-persistent number, because it is pandigital, but 2⋅368479631520 = 736959263040 is not.

Almost surely, 2^368479631520 is an apocalyptic number.

368479631520 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 368479631520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (926650368000).

368479631520 is an abundant number, since it is smaller than the sum of its proper divisors (1484821104480).

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

368479631520 is a wasteful number, since it uses less digits than its factorization.

368479631520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

It can be divided in two parts, 368479 and 631520, that added together give a palindrome (999999).

The spelling of 368479631520 in words is "three hundred sixty-eight billion, four hundred seventy-nine million, six hundred thirty-one thousand, five hundred twenty".