47797304400 has 360 divisors, whose sum is σ = 175329760320. Its totient is φ = 12024668160.

The previous prime is 47797304393. The next prime is 47797304437. The reversal of 47797304400 is 440379774.

It is a tau number, because it is divible by the number of its divisors (360).

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17987872 + ... + 17990528.

It is an arithmetic number, because the mean of its divisors is an integer number (487027112).

Almost surely, 2^47797304400 is an apocalyptic number.

47797304400 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 47797304400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87664880160).

47797304400 is an abundant number, since it is smaller than the sum of its proper divisors (127532455920).

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

47797304400 is a wasteful number, since it uses less digits than its factorization.

47797304400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2963 (or 2949 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 45.

The spelling of 47797304400 in words is "forty-seven billion, seven hundred ninety-seven million, three hundred four thousand, four hundred".