7149003840 has 896 divisors, whose sum is σ = 30021580800. Its totient is φ = 1582571520.

The previous prime is 7149003809. The next prime is 7149003871. The reversal of 7149003840 is 483009417.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (7149003809) and next prime (7149003871).

It is a super-2 number, since 2×7149003840² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 7149003795 and 7149003804.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 66813067 + ... + 66813173.

Almost surely, 2^7149003840 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 7149003840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15010790400).

7149003840 is an abundant number, since it is smaller than the sum of its proper divisors (22872576960).

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

7149003840 is a wasteful number, since it uses less digits than its factorization.

7149003840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 7149003840 is about 84551.7820036929. The cubic root of 7149003840 is about 1926.4090512281.

The spelling of 7149003840 in words is "seven billion, one hundred forty-nine million, three thousand, eight hundred forty".