47378764800 has 792 divisors, whose sum is σ = 182146972800. Its totient is φ = 11731599360.

The previous prime is 47378764793. The next prime is 47378764859. The reversal of 47378764800 is 846787374.

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, 345830332 + ... + 345830468.

Almost surely, 2^47378764800 is an apocalyptic number.

47378764800 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 47378764800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91073486400).

47378764800 is an abundant number, since it is smaller than the sum of its proper divisors (134768208000).

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

47378764800 is a wasteful number, since it uses less digits than its factorization.

47378764800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 6322176, while the sum is 54.

The spelling of 47378764800 in words is "forty-seven billion, three hundred seventy-eight million, seven hundred sixty-four thousand, eight hundred".