42647642400 has 648 divisors, whose sum is σ = 160390265616. Its totient is φ = 9761280000.

The previous prime is 42647642393. The next prime is 42647642417. The reversal of 42647642400 is 424674624.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1040186380 + ... + 1040186420.

It is an arithmetic number, because the mean of its divisors is an integer number (247515842).

Almost surely, 2^42647642400 is an apocalyptic number.

42647642400 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 42647642400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80195132808).

42647642400 is an abundant number, since it is smaller than the sum of its proper divisors (117742623216).

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

42647642400 is a wasteful number, since it uses less digits than its factorization.

42647642400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 39.

The spelling of 42647642400 in words is "forty-two billion, six hundred forty-seven million, six hundred forty-two thousand, four hundred".