7491741516 has 288 divisors, whose sum is σ = 23922662400. Its totient is φ = 2045336832.

The previous prime is 7491741503. The next prime is 7491741527. The reversal of 7491741516 is 6151471947.

7491741516 is a `hidden beast` number, since 7 + 4 + 91 + 7 + 41 + 516 = 666.

It is a super-2 number, since 2×7491741516² (a number of 21 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 7667620 + ... + 7668596.

It is an arithmetic number, because the mean of its divisors is an integer number (83064800).

Almost surely, 2^7491741516 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 7491741516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11961331200).

7491741516 is an abundant number, since it is smaller than the sum of its proper divisors (16430920884).

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

7491741516 is a wasteful number, since it uses less digits than its factorization.

7491741516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1040 (or 1012 counting only the distinct ones).

The product of its digits is 211680, while the sum is 45.

The square root of 7491741516 is about 86554.8468660190. The cubic root of 7491741516 is about 1956.7150928981.

The spelling of 7491741516 in words is "seven billion, four hundred ninety-one million, seven hundred forty-one thousand, five hundred sixteen".