6142780800 has 480 divisors, whose sum is σ = 24425311680. Its totient is φ = 1511239680.

The previous prime is 6142780793. The next prime is 6142780817. The reversal of 6142780800 is 80872416.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-4 number, since 4×6142780800⁴ (a number of 40 digits) contains 4444 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3368689 + ... + 3370511.

It is an arithmetic number, because the mean of its divisors is an integer number (50886066).

Almost surely, 2^6142780800 is an apocalyptic number.

6142780800 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 6142780800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12212655840).

6142780800 is an abundant number, since it is smaller than the sum of its proper divisors (18282530880).

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

6142780800 is a wasteful number, since it uses less digits than its factorization.

6142780800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1872 (or 1846 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 6142780800 is about 78375.8942532715. The cubic root of 6142780800 is about 1831.4216311469.

The spelling of 6142780800 in words is "six billion, one hundred forty-two million, seven hundred eighty thousand, eight hundred".