6213965990400 has 1440 divisors, whose sum is σ = 28327431749760. Its totient is φ = 1266375720960.

The previous prime is 6213965990399. The next prime is 6213965990429. The reversal of 6213965990400 is 40995693126.

6213965990400 is a `hidden beast` number, since 6 + 2 + 1 + 3 + 9 + 6 + 599 + 0 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×6213965990400² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 260455272 + ... + 260479128.

It is an arithmetic number, because the mean of its divisors is an integer number (19671827604).

Almost surely, 2^{6213965990400} is an apocalyptic number.

6213965990400 is a gapful number since it is divisible by the number (60) 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 6213965990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14163715874880).

6213965990400 is an abundant number, since it is smaller than the sum of its proper divisors (22113465759360).

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

6213965990400 is a wasteful number, since it uses less digits than its factorization.

6213965990400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23934 (or 23910 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 54.

The spelling of 6213965990400 in words is "six trillion, two hundred thirteen billion, nine hundred sixty-five million, nine hundred ninety thousand, four hundred".