6213555356400 has 180 divisors, whose sum is σ = 24643157899152. Its totient is φ = 1420241218560.

The previous prime is 6213555356389. The next prime is 6213555356413. The reversal of 6213555356400 is 46535553126.

6213555356400 is a `hidden beast` number, since 6 + 2 + 1 + 3 + 5 + 553 + 56 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 123259629 + ... + 123310028.

Almost surely, 2^{6213555356400} is an apocalyptic number.

6213555356400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6213555356400 is an abundant number, since it is smaller than the sum of its proper divisors (18429602542752).

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

6213555356400 is a wasteful number, since it uses less digits than its factorization.

6213555356400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246569688 (or 246569674 counting only the distinct ones).

The product of its (nonzero) digits is 1620000, while the sum is 45.

The spelling of 6213555356400 in words is "six trillion, two hundred thirteen billion, five hundred fifty-five million, three hundred fifty-six thousand, four hundred".