7114947840 has 864 divisors, whose sum is σ = 33105735936. Its totient is φ = 1362493440.

The previous prime is 7114947809. The next prime is 7114947871. The reversal of 7114947840 is 487494117.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (7114947809) and next prime (7114947871).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11531212 + ... + 11531828.

It is an arithmetic number, because the mean of its divisors is an integer number (38316824).

Almost surely, 2^7114947840 is an apocalyptic number.

7114947840 is a gapful number since it is divisible by the number (70) 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 7114947840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16552867968).

7114947840 is an abundant number, since it is smaller than the sum of its proper divisors (25990788096).

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

7114947840 is a wasteful number, since it uses less digits than its factorization.

7114947840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 7114947840 is about 84350.1502073351. The cubic root of 7114947840 is about 1923.3452099331.

The spelling of 7114947840 in words is "seven billion, one hundred fourteen million, nine hundred forty-seven thousand, eight hundred forty".