6197297072400 has 600 divisors, whose sum is σ = 26524168665984. Its totient is φ = 1354935859200.

The previous prime is 6197297072381. The next prime is 6197297072401. The reversal of 6197297072400 is 42707927916.

6197297072400 is a `hidden beast` number, since 6 + 19 + 72 + 97 + 0 + 72 + 400 = 666.

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

It is a super-2 number, since 2×6197297072400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (6197297072401) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 4622380 + ... + 5810420.

Almost surely, 2^{6197297072400} is an apocalyptic number.

6197297072400 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 6197297072400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13262084332992).

6197297072400 is an abundant number, since it is smaller than the sum of its proper divisors (20326871593584).

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

6197297072400 is a wasteful number, since it uses less digits than its factorization.

6197297072400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1188101 (or 1188081 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 54.

The spelling of 6197297072400 in words is "six trillion, one hundred ninety-seven billion, two hundred ninety-seven million, seventy-two thousand, four hundred".