6197990400 has 990 divisors, whose sum is σ = 27135101598. Its totient is φ = 1393459200.

The previous prime is 6197990371. The next prime is 6197990413. The reversal of 6197990400 is 40997916.

It can be written as a sum of positive squares in 3 ways, for example, as 16257024 + 6181733376 = 4032^2 + 78624^2 .

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 polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 101606370 + ... + 101606430.

Almost surely, 2^6197990400 is an apocalyptic number.

6197990400 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 6197990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13567550799).

6197990400 is an abundant number, since it is smaller than the sum of its proper divisors (20937111198).

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

6197990400 is a wasteful number, since it uses less digits than its factorization.

6197990400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The square root of 6197990400 is about 78727.3167331391. The cubic root of 6197990400 is about 1836.8920437714.

The spelling of 6197990400 in words is "six billion, one hundred ninety-seven million, nine hundred ninety thousand, four hundred".