6400148680800 has 1728 divisors, whose sum is σ = 26982373017600. Its totient is φ = 1426553856000.

The previous prime is 6400148680769. The next prime is 6400148680823. The reversal of 6400148680800 is 80868410046.

6400148680800 is a `hidden beast` number, since 6 + 400 + 14 + 86 + 80 + 80 + 0 = 666.

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 287 ways as a sum of consecutive naturals, for example, 23616784665 + ... + 23616784935.

It is an arithmetic number, because the mean of its divisors is an integer number (15614799200).

Almost surely, 2^{6400148680800} is an apocalyptic number.

6400148680800 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 6400148680800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13491186508800).

6400148680800 is an abundant number, since it is smaller than the sum of its proper divisors (20582224336800).

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

6400148680800 is a wasteful number, since it uses less digits than its factorization.

6400148680800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 6400148680800 in words is "six trillion, four hundred billion, one hundred forty-eight million, six hundred eighty thousand, eight hundred".