47781692640 has 672 divisors, whose sum is σ = 186573735936. Its totient is φ = 11462446080.

The previous prime is 47781692633. The next prime is 47781692681. The reversal of 47781692640 is 4629618774.

47781692640 is a `hidden beast` number, since 477 + 8 + 169 + 2 + 6 + 4 + 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 (11) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 214267569 + ... + 214267791.

It is an arithmetic number, because the mean of its divisors is an integer number (277639488).

Almost surely, 2^47781692640 is an apocalyptic number.

47781692640 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 47781692640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93286867968).

47781692640 is an abundant number, since it is smaller than the sum of its proper divisors (138792043296).

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

47781692640 is a wasteful number, since it uses less digits than its factorization.

47781692640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 47781692640 in words is "forty-seven billion, seven hundred eighty-one million, six hundred ninety-two thousand, six hundred forty".