6152464800 has 216 divisors, whose sum is σ = 21842664480. Its totient is φ = 1629504000.

The previous prime is 6152464771. The next prime is 6152464823. The reversal of 6152464800 is 84642516.

6152464800 is a `hidden beast` number, since 6 + 1 + 5 + 2 + 4 + 648 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 35 ways as a sum of consecutive naturals, for example, 1084371 + ... + 1090029.

Almost surely, 2^6152464800 is an apocalyptic number.

6152464800 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 6152464800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10921332240).

6152464800 is an abundant number, since it is smaller than the sum of its proper divisors (15690199680).

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

6152464800 is a wasteful number, since it uses less digits than its factorization.

6152464800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5836 (or 5820 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 6152464800 is about 78437.6491233642. The cubic root of 6152464800 is about 1832.3835285839.

The spelling of 6152464800 in words is "six billion, one hundred fifty-two million, four hundred sixty-four thousand, eight hundred".