47990638080 has 1280 divisors, whose sum is σ = 217220382720. Its totient is φ = 9754214400.

The previous prime is 47990638079. The next prime is 47990638099. The reversal of 47990638080 is 8083609974.

47990638080 is a `hidden beast` number, since 479 + 90 + 6 + 3 + 8 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 377878977 + ... + 377879103.

It is an arithmetic number, because the mean of its divisors is an integer number (169703424).

Almost surely, 2^47990638080 is an apocalyptic number.

47990638080 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 47990638080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108610191360).

47990638080 is an abundant number, since it is smaller than the sum of its proper divisors (169229744640).

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

47990638080 is a wasteful number, since it uses less digits than its factorization.

47990638080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 47990638080 in words is "forty-seven billion, nine hundred ninety million, six hundred thirty-eight thousand, eighty".