7149597840 has 1200 divisors, whose sum is σ = 33251264640. Its totient is φ = 1405071360.

The previous prime is 7149597823. The next prime is 7149597857. The reversal of 7149597840 is 487959417.

7149597840 is a `hidden beast` number, since 7 + 1 + 4 + 9 + 597 + 8 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (7149597823) and next prime (7149597857).

It is a super-2 number, since 2×7149597840² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 239 ways as a sum of consecutive naturals, for example, 80332516 + ... + 80332604.

Almost surely, 2^7149597840 is an apocalyptic number.

7149597840 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 7149597840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16625632320).

7149597840 is an abundant number, since it is smaller than the sum of its proper divisors (26101666800).

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

7149597840 is a wasteful number, since it uses less digits than its factorization.

7149597840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The square root of 7149597840 is about 84555.2945710675. The cubic root of 7149597840 is about 1926.4624038961.

The spelling of 7149597840 in words is "seven billion, one hundred forty-nine million, five hundred ninety-seven thousand, eight hundred forty".