7967491350 has 384 divisors, whose sum is σ = 26451640320. Its totient is φ = 1539648000.

The previous prime is 7967491339. The next prime is 7967491361. The reversal of 7967491350 is 531947697.

It is an interprime number because it is at equal distance from previous prime (7967491339) and next prime (7967491361).

It is a junction number, because it is equal to n+sod(n) for n = 7967491293 and 7967491302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8039355 + ... + 8040345.

It is an arithmetic number, because the mean of its divisors is an integer number (68884480).

Almost surely, 2^7967491350 is an apocalyptic number.

7967491350 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 7967491350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13225820160).

7967491350 is an abundant number, since it is smaller than the sum of its proper divisors (18484148970).

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

7967491350 is a wasteful number, since it uses less digits than its factorization.

7967491350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1076 (or 1071 counting only the distinct ones).

The product of its (nonzero) digits is 1428840, while the sum is 51.

The square root of 7967491350 is about 89260.8052282747. The cubic root of 7967491350 is about 1997.2872680396.

The spelling of 7967491350 in words is "seven billion, nine hundred sixty-seven million, four hundred ninety-one thousand, three hundred fifty".