42352200864 has 192 divisors, whose sum is σ = 124621217280. Its totient is φ = 13993067520.

The previous prime is 42352200853. The next prime is 42352200883. The reversal of 42352200864 is 46800225324.

42352200864 is a `hidden beast` number, since 42 + 352 + 200 + 8 + 64 = 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 31 ways as a sum of consecutive naturals, for example, 64857562 + ... + 64858214.

It is an arithmetic number, because the mean of its divisors is an integer number (649068840).

Almost surely, 2^42352200864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42352200864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62310608640).

42352200864 is an abundant number, since it is smaller than the sum of its proper divisors (82269016416).

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

42352200864 is a wasteful number, since it uses less digits than its factorization.

42352200864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1220 (or 1206 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 42352200864 in words is "forty-two billion, three hundred fifty-two million, two hundred thousand, eight hundred sixty-four".