6742148800 has 42 divisors (see below), whose sum is σ = 16589903828. Its totient is φ = 2696858880.

The previous prime is 6742148783. The next prime is 6742148807. The reversal of 6742148800 is 88412476.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (6742148807) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2105322 + ... + 2108521.

Almost surely, 2^6742148800 is an apocalyptic number.

It is an amenable number.

6742148800 is an abundant number, since it is smaller than the sum of its proper divisors (9847755028).

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

6742148800 is a wasteful number, since it uses less digits than its factorization.

6742148800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4213865 (or 4213850 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 40.

The square root of 6742148800 is about 82110.5888421219. The cubic root of 6742148800 is about 1889.1485578165.

The spelling of 6742148800 in words is "six billion, seven hundred forty-two million, one hundred forty-eight thousand, eight hundred".