7891401672 has 224 divisors, whose sum is σ = 27660070080. Its totient is φ = 2049598080.

The previous prime is 7891401653. The next prime is 7891401673. The reversal of 7891401672 is 2761041987.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (7891401673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 440278 + ... + 457850.

Almost surely, 2^7891401672 is an apocalyptic number.

7891401672 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 7891401672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13830035040).

7891401672 is an abundant number, since it is smaller than the sum of its proper divisors (19768668408).

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

7891401672 is a wasteful number, since it uses less digits than its factorization.

7891401672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17615 (or 17596 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The square root of 7891401672 is about 88833.5616307260. The cubic root of 7891401672 is about 1990.9088776949.

The spelling of 7891401672 in words is "seven billion, eight hundred ninety-one million, four hundred one thousand, six hundred seventy-two".