335516564400 has 120 divisors (see below), whose sum is σ = 1099766247360. Its totient is φ = 87390347520.

The previous prime is 335516564333. The next prime is 335516564407. The reversal of 335516564400 is 4465615533.

335516564400 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×335516564400² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (335516564407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3199530 + ... + 3302729.

It is an arithmetic number, because the mean of its divisors is an integer number (9164718728).

Almost surely, 2^335516564400 is an apocalyptic number.

335516564400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

335516564400 is an abundant number, since it is smaller than the sum of its proper divisors (764249682960).

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

335516564400 is a wasteful number, since it uses less digits than its factorization.

335516564400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6502323 (or 6502312 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 42.

The spelling of 335516564400 in words is "three hundred thirty-five billion, five hundred sixteen million, five hundred sixty-four thousand, four hundred".