42634641600 has 504 divisors, whose sum is σ = 160188341040. Its totient is φ = 11149332480.

The previous prime is 42634641593. The next prime is 42634641631. The reversal of 42634641600 is 614643624.

42634641600 is a `hidden beast` number, since 4 + 2 + 6 + 3 + 4 + 6 + 41 + 600 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 20605366 + ... + 20607434.

It is an arithmetic number, because the mean of its divisors is an integer number (317834010).

Almost surely, 2^42634641600 is an apocalyptic number.

42634641600 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 42634641600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80094170520).

42634641600 is an abundant number, since it is smaller than the sum of its proper divisors (117553699440).

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

42634641600 is a wasteful number, since it uses less digits than its factorization.

42634641600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2159 (or 2132 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 42634641600 in words is "forty-two billion, six hundred thirty-four million, six hundred forty-one thousand, six hundred".