336364479360 has 1024 divisors, whose sum is σ = 1472599296000. Its totient is φ = 70660325376.

The previous prime is 336364479313. The next prime is 336364479391. The reversal of 336364479360 is 63974463633.

It is a super-2 number, since 2×336364479360² (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 a junction number, because it is equal to n+sod(n) for n = 336364479297 and 336364479306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 643144059 + ... + 643144581.

It is an arithmetic number, because the mean of its divisors is an integer number (1438085250).

Almost surely, 2^336364479360 is an apocalyptic number.

336364479360 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 336364479360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (736299648000).

336364479360 is an abundant number, since it is smaller than the sum of its proper divisors (1136234816640).

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

336364479360 is a wasteful number, since it uses less digits than its factorization.

336364479360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 980 (or 962 counting only the distinct ones).

The product of its (nonzero) digits is 17635968, while the sum is 54.

The spelling of 336364479360 in words is "three hundred thirty-six billion, three hundred sixty-four million, four hundred seventy-nine thousand, three hundred sixty".