7809847689672 has 672 divisors, whose sum is σ = 26320644879480. Its totient is φ = 2163815700480.

The previous prime is 7809847689661. The next prime is 7809847689673. The reversal of 7809847689672 is 2769867489087.

7809847689672 is a `hidden beast` number, since 7 + 8 + 0 + 9 + 8 + 476 + 89 + 67 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7746280169796 + 63567519876 = 2783214^2 + 252126^2 .

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a junction number, because it is equal to n+sod(n) for n = 7809847689591 and 7809847689600.

It is not an unprimeable number, because it can be changed into a prime (7809847689673) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 2026950498 + ... + 2026954350.

Almost surely, 2^{7809847689672} is an apocalyptic number.

7809847689672 is a gapful number since it is divisible by the number (72) 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 7809847689672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13160322439740).

7809847689672 is an abundant number, since it is smaller than the sum of its proper divisors (18510797189808).

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

7809847689672 is a wasteful number, since it uses less digits than its factorization.

7809847689672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4105 (or 4079 counting only the distinct ones).

The product of its (nonzero) digits is 4096770048, while the sum is 81.

The spelling of 7809847689672 in words is "seven trillion, eight hundred nine billion, eight hundred forty-seven million, six hundred eighty-nine thousand, six hundred seventy-two".