42746815800 has 384 divisors, whose sum is σ = 160161624000. Its totient is φ = 10416384000.

The previous prime is 42746815781. The next prime is 42746815823. The reversal of 42746815800 is 851864724.

42746815800 is a `hidden beast` number, since 4 + 2 + 7 + 4 + 68 + 1 + 580 + 0 = 666.

It is a super-2 number, since 2×42746815800² (a number of 22 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7087186 + ... + 7093214.

Almost surely, 2^42746815800 is an apocalyptic number.

42746815800 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 42746815800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80080812000).

42746815800 is an abundant number, since it is smaller than the sum of its proper divisors (117414808200).

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

42746815800 is a wasteful number, since it uses less digits than its factorization.

42746815800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6168 (or 6153 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 42746815800 in words is "forty-two billion, seven hundred forty-six million, eight hundred fifteen thousand, eight hundred".