6149696400 has 135 divisors (see below), whose sum is σ = 21357495601. Its totient is φ = 1638664320.

The previous prime is 6149696387. The next prime is 6149696411. The reversal of 6149696400 is 46969416.

The square root of 6149696400 is 78420.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2213890704 + 3935805696 = 47052^2 + 62736^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4704547 + ... + 4705853.

Almost surely, 2^6149696400 is an apocalyptic number.

6149696400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

6149696400 is the 78420-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6149696400

6149696400 is an abundant number, since it is smaller than the sum of its proper divisors (15207799201).

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

6149696400 is a wasteful number, since it uses less digits than its factorization.

6149696400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2638 (or 1317 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The cubic root of 6149696400 is about 1832.1086505866.

The spelling of 6149696400 in words is "six billion, one hundred forty-nine million, six hundred ninety-six thousand, four hundred".