7191964416 has 432 divisors, whose sum is σ = 24473204448. Its totient is φ = 1857945600.

The previous prime is 7191964397. The next prime is 7191964433. The reversal of 7191964416 is 6144691917.

It is a super-2 number, since 2×7191964416² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29842056 + ... + 29842296.

Almost surely, 2^7191964416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7191964416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12236602224).

7191964416 is an abundant number, since it is smaller than the sum of its proper divisors (17281240032).

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

7191964416 is a wasteful number, since it uses less digits than its factorization.

7191964416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 327 counting only the distinct ones).

The product of its digits is 326592, while the sum is 48.

The square root of 7191964416 is about 84805.4503908799. The cubic root of 7191964416 is about 1930.2601433727.

The spelling of 7191964416 in words is "seven billion, one hundred ninety-one million, nine hundred sixty-four thousand, four hundred sixteen".