47667890760 has 128 divisors (see below), whose sum is σ = 163889049600. Its totient is φ = 10865099520.

The previous prime is 47667890723. The next prime is 47667890773. The reversal of 47667890760 is 6709876674.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 47667890694 and 47667890703.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 222525 + ... + 380595.

It is an arithmetic number, because the mean of its divisors is an integer number (1280383200).

Almost surely, 2^47667890760 is an apocalyptic number.

47667890760 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 47667890760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81944524800).

47667890760 is an abundant number, since it is smaller than the sum of its proper divisors (116221158840).

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

47667890760 is a wasteful number, since it uses less digits than its factorization.

47667890760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158451 (or 158447 counting only the distinct ones).

The product of its (nonzero) digits is 21337344, while the sum is 60.

The spelling of 47667890760 in words is "forty-seven billion, six hundred sixty-seven million, eight hundred ninety thousand, seven hundred sixty".