47655630400 has 336 divisors, whose sum is σ = 143137981440. Its totient is φ = 15263539200.

The previous prime is 47655630397. The next prime is 47655630403. The reversal of 47655630400 is 403655674.

It is an interprime number because it is at equal distance from previous prime (47655630397) and next prime (47655630403).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (47655630403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10066434 + ... + 10071166.

Almost surely, 2^47655630400 is an apocalyptic number.

47655630400 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 47655630400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71568990720).

47655630400 is an abundant number, since it is smaller than the sum of its proper divisors (95482351040).

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

47655630400 is a wasteful number, since it uses less digits than its factorization.

47655630400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4822 (or 4807 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 40.

The spelling of 47655630400 in words is "forty-seven billion, six hundred fifty-five million, six hundred thirty thousand, four hundred".