6701613452400 has 120 divisors (see below), whose sum is σ = 21486622288000. Its totient is φ = 1785505201920.

The previous prime is 6701613452383. The next prime is 6701613452437. The reversal of 6701613452400 is 42543161076.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1138900 + ... + 3834099.

Almost surely, 2^{6701613452400} is an apocalyptic number.

6701613452400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6701613452400 is an abundant number, since it is smaller than the sum of its proper divisors (14785008835600).

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

6701613452400 is a wasteful number, since it uses less digits than its factorization.

6701613452400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4974143 (or 4974132 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The spelling of 6701613452400 in words is "six trillion, seven hundred one billion, six hundred thirteen million, four hundred fifty-two thousand, four hundred".