42700953600 has 1152 divisors, whose sum is σ = 175488768000. Its totient is φ = 10121379840.

The previous prime is 42700953563. The next prime is 42700953601. The reversal of 42700953600 is 635900724.

42700953600 is a `hidden beast` number, since 42 + 7 + 0 + 0 + 9 + 5 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 (42700953601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 540518361 + ... + 540518439.

It is an arithmetic number, because the mean of its divisors is an integer number (152334000).

Almost surely, 2^42700953600 is an apocalyptic number.

42700953600 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 42700953600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87744384000).

42700953600 is an abundant number, since it is smaller than the sum of its proper divisors (132787814400).

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

42700953600 is a wasteful number, since it uses less digits than its factorization.

42700953600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 42700953600 in words is "forty-two billion, seven hundred million, nine hundred fifty-three thousand, six hundred".