6151622400 has 1296 divisors, whose sum is σ = 29258960640. Its totient is φ = 1194393600.

The previous prime is 6151622383. The next prime is 6151622443. The reversal of 6151622400 is 42261516.

6151622400 is a `hidden beast` number, since 615 + 1 + 6 + 2 + 2 + 40 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 84268764 + ... + 84268836.

Almost surely, 2^6151622400 is an apocalyptic number.

6151622400 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 6151622400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14629480320).

6151622400 is an abundant number, since it is smaller than the sum of its proper divisors (23107338240).

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

6151622400 is a wasteful number, since it uses less digits than its factorization.

6151622400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 6151622400 is about 78432.2790692710. The cubic root of 6151622400 is about 1832.2998943338.

Adding to 6151622400 its reverse (42261516), we get a palindrome (6193883916).

The spelling of 6151622400 in words is "six billion, one hundred fifty-one million, six hundred twenty-two thousand, four hundred".