6201020966400 has 3360 divisors, whose sum is σ = 27392652258048. Its totient is φ = 1375941427200.

The previous prime is 6201020966363. The next prime is 6201020966453. The reversal of 6201020966400 is 46690201026.

6201020966400 is a `hidden beast` number, since 6 + 2 + 0 + 1 + 0 + 2 + 0 + 9 + 6 + 640 + 0 = 666.

It is a super-2 number, since 2×6201020966400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 335 ways as a sum of consecutive naturals, for example, 63928051152 + ... + 63928051248.

Almost surely, 2^{6201020966400} is an apocalyptic number.

6201020966400 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 6201020966400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13696326129024).

6201020966400 is an abundant number, since it is smaller than the sum of its proper divisors (21191631291648).

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

6201020966400 is a wasteful number, since it uses less digits than its factorization.

6201020966400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 6201020966400 in words is "six trillion, two hundred one billion, twenty million, nine hundred sixty-six thousand, four hundred".