7126237440 has 504 divisors, whose sum is σ = 29275541568. Its totient is φ = 1627361280.

The previous prime is 7126237421. The next prime is 7126237457. The reversal of 7126237440 is 447326217.

It is a tau number, because it is divible by the number of its divisors (504).

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 = 7126237395 and 7126237404.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 6531295 + ... + 6532385.

It is an arithmetic number, because the mean of its divisors is an integer number (58086392).

Almost surely, 2^7126237440 is an apocalyptic number.

7126237440 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 7126237440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14637770784).

7126237440 is an abundant number, since it is smaller than the sum of its proper divisors (22149304128).

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

7126237440 is an equidigital number, since it uses as much as digits as its factorization.

7126237440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1137 (or 1108 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 7126237440 is about 84417.0447243920. The cubic root of 7126237440 is about 1924.3619577687.

The spelling of 7126237440 in words is "seven billion, one hundred twenty-six million, two hundred thirty-seven thousand, four hundred forty".