6201392400 has 600 divisors, whose sum is σ = 26158573760. Its totient is φ = 1377285120.

The previous prime is 6201392389. The next prime is 6201392401. The reversal of 6201392400 is 42931026.

6201392400 is a `hidden beast` number, since 620 + 1 + 39 + 2 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (6201392401) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 8391231 + ... + 8391969.

Almost surely, 2^6201392400 is an apocalyptic number.

6201392400 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 6201392400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13079286880).

6201392400 is an abundant number, since it is smaller than the sum of its proper divisors (19957181360).

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

6201392400 is a wasteful number, since it uses less digits than its factorization.

6201392400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 813 (or 793 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 6201392400 is about 78748.9199925942. The cubic root of 6201392400 is about 1837.2280647140.

The spelling of 6201392400 in words is "six billion, two hundred one million, three hundred ninety-two thousand, four hundred".