47499782400 has 864 divisors, whose sum is σ = 201467105280. Its totient is φ = 10726318080.

The previous prime is 47499782389. The next prime is 47499782419. The reversal of 47499782400 is 428799474.

It is a happy number.

47499782400 is a `hidden beast` number, since 4 + 74 + 9 + 97 + 82 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 129427017 + ... + 129427383.

It is an arithmetic number, because the mean of its divisors is an integer number (233179520).

Almost surely, 2^47499782400 is an apocalyptic number.

47499782400 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 47499782400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100733552640).

47499782400 is an abundant number, since it is smaller than the sum of its proper divisors (153967322880).

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

47499782400 is a wasteful number, since it uses less digits than its factorization.

47499782400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 47499782400 in words is "forty-seven billion, four hundred ninety-nine million, seven hundred eighty-two thousand, four hundred".