47782087920 has 400 divisors, whose sum is σ = 190789663680. Its totient is φ = 10856706048.

The previous prime is 47782087819. The next prime is 47782087949. The reversal of 47782087920 is 2978028774.

47782087920 is a `hidden beast` number, since 477 + 8 + 2 + 0 + 87 + 92 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7844236 + ... + 7850324.

Almost surely, 2^47782087920 is an apocalyptic number.

47782087920 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 47782087920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95394831840).

47782087920 is an abundant number, since it is smaller than the sum of its proper divisors (143007575760).

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

47782087920 is a wasteful number, since it uses less digits than its factorization.

47782087920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6294 (or 6279 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 54.

The spelling of 47782087920 in words is "forty-seven billion, seven hundred eighty-two million, eighty-seven thousand, nine hundred twenty".