47652788400 has 960 divisors, whose sum is σ = 196881684480. Its totient is φ = 9599385600.

The previous prime is 47652788399. The next prime is 47652788411. The reversal of 47652788400 is 488725674.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 153224245 + ... + 153224555.

It is an arithmetic number, because the mean of its divisors is an integer number (205085088).

Almost surely, 2^47652788400 is an apocalyptic number.

47652788400 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 47652788400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98440842240).

47652788400 is an abundant number, since it is smaller than the sum of its proper divisors (149228896080).

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

47652788400 is a wasteful number, since it uses less digits than its factorization.

47652788400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 51.

The spelling of 47652788400 in words is "forty-seven billion, six hundred fifty-two million, seven hundred eighty-eight thousand, four hundred".