47978002800 has 720 divisors, whose sum is σ = 206608234560. Its totient is φ = 10039541760.

The previous prime is 47978002799. The next prime is 47978002811. The reversal of 47978002800 is 820087974.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 44880666 + ... + 44881734.

Almost surely, 2^47978002800 is an apocalyptic number.

47978002800 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 47978002800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103304117280).

47978002800 is an abundant number, since it is smaller than the sum of its proper divisors (158630231760).

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

47978002800 is a wasteful number, since it uses less digits than its factorization.

47978002800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1250 (or 1236 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 47978002800 in words is "forty-seven billion, nine hundred seventy-eight million, two thousand, eight hundred".