42937516800 has 378 divisors, whose sum is σ = 159360016452. Its totient is φ = 11448760320.

The previous prime is 42937516763. The next prime is 42937516877. The reversal of 42937516800 is 861573924.

42937516800 is a `hidden beast` number, since 4 + 29 + 37 + 516 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 4660999 + ... + 4670201.

It is a 1-persistent number, because it is pandigital, but 2⋅42937516800 = 85875033600 is not.

Almost surely, 2^42937516800 is an apocalyptic number.

42937516800 is a gapful number since it is divisible by the number (40) 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 42937516800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79680008226).

42937516800 is an abundant number, since it is smaller than the sum of its proper divisors (116422499652).

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

42937516800 is an frugal number, since it uses more digits than its factorization.

42937516800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9247 (or 9213 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 42937516800 in words is "forty-two billion, nine hundred thirty-seven million, five hundred sixteen thousand, eight hundred".