47864140800 has 1056 divisors, whose sum is σ = 194939904000. Its totient is φ = 10332241920.

The previous prime is 47864140783. The next prime is 47864140837. The reversal of 47864140800 is 804146874.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 605875161 + ... + 605875239.

Almost surely, 2^47864140800 is an apocalyptic number.

47864140800 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 47864140800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97469952000).

47864140800 is an abundant number, since it is smaller than the sum of its proper divisors (147075763200).

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

47864140800 is a wasteful number, since it uses less digits than its factorization.

47864140800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 42.

The spelling of 47864140800 in words is "forty-seven billion, eight hundred sixty-four million, one hundred forty thousand, eight hundred".