7967117046 has 64 divisors (see below), whose sum is σ = 19065715200. Its totient is φ = 2171318016.

The previous prime is 7967117029. The next prime is 7967117051. The reversal of 7967117046 is 6407117697.

It is a super-2 number, since 2×7967117046² (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 7967116986 and 7967117004.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 61690 + ... + 140498.

It is an arithmetic number, because the mean of its divisors is an integer number (297901800).

Almost surely, 2^7967117046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7967117046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9532857600).

7967117046 is an abundant number, since it is smaller than the sum of its proper divisors (11098598154).

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

7967117046 is a wasteful number, since it uses less digits than its factorization.

7967117046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78933.

The product of its (nonzero) digits is 444528, while the sum is 48.

The square root of 7967117046 is about 89258.7085163123. The cubic root of 7967117046 is about 1997.2559907618.

The spelling of 7967117046 in words is "seven billion, nine hundred sixty-seven million, one hundred seventeen thousand, forty-six".