42470328600 has 720 divisors, whose sum is σ = 172300489920. Its totient is φ = 9364723200.

The previous prime is 42470328599. The next prime is 42470328601. The reversal of 42470328600 is 682307424.

42470328600 is a `hidden beast` number, since 4 + 2 + 47 + 0 + 3 + 2 + 8 + 600 = 666.

42470328600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42470328599) and next prime (42470328601).

It is a super-2 number, since 2×42470328600² (a number of 22 digits) contains 22 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 not an unprimeable number, because it can be changed into a prime (42470328601) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 133975642 + ... + 133975958.

It is an arithmetic number, because the mean of its divisors is an integer number (239306236).

Almost surely, 2^42470328600 is an apocalyptic number.

42470328600 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 42470328600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86150244960).

42470328600 is an abundant number, since it is smaller than the sum of its proper divisors (129830161320).

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

42470328600 is a wasteful number, since it uses less digits than its factorization.

42470328600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 42470328600 in words is "forty-two billion, four hundred seventy million, three hundred twenty-eight thousand, six hundred".