6148612800 has 840 divisors, whose sum is σ = 26067349440. Its totient is φ = 1405900800.

The previous prime is 6148612783. The next prime is 6148612807. The reversal of 6148612800 is 82168416.

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

It is not an unprimeable number, because it can be changed into a prime (6148612807) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 27086287 + ... + 27086513.

Almost surely, 2^6148612800 is an apocalyptic number.

6148612800 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 6148612800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13033674720).

6148612800 is an abundant number, since it is smaller than the sum of its proper divisors (19918736640).

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

6148612800 is a wasteful number, since it uses less digits than its factorization.

6148612800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 6148612800 is about 78413.0907438292. The cubic root of 6148612800 is about 1832.0010360844.

The spelling of 6148612800 in words is "six billion, one hundred forty-eight million, six hundred twelve thousand, eight hundred".