47823026400 has 864 divisors, whose sum is σ = 188792916480. Its totient is φ = 11675197440.

The previous prime is 47823026387. The next prime is 47823026413. The reversal of 47823026400 is 462032874.

47823026400 is a `hidden beast` number, since 4 + 7 + 8 + 2 + 3 + 0 + 2 + 640 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (47823026387) and next prime (47823026413).

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 (36).

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 293392719 + ... + 293392881.

It is an arithmetic number, because the mean of its divisors is an integer number (218510320).

Almost surely, 2^47823026400 is an apocalyptic number.

47823026400 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 47823026400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94396458240).

47823026400 is an abundant number, since it is smaller than the sum of its proper divisors (140969890080).

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

47823026400 is a wasteful number, since it uses less digits than its factorization.

47823026400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 47823026400 in words is "forty-seven billion, eight hundred twenty-three million, twenty-six thousand, four hundred".