7123645440 has 440 divisors, whose sum is σ = 25947690120. Its totient is φ = 1868562432.

The previous prime is 7123645429. The next prime is 7123645447. The reversal of 7123645440 is 445463217.

7123645440 is a `hidden beast` number, since 7 + 1 + 2 + 3 + 645 + 4 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2985984 + 7120659456 = 1728^2 + 84384^2 .

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 = 7123645395 and 7123645404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7123645447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 36909984 + ... + 36910176.

It is an arithmetic number, because the mean of its divisors is an integer number (58972023).

Almost surely, 2^7123645440 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 7123645440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12973845060).

7123645440 is an abundant number, since it is smaller than the sum of its proper divisors (18824044680).

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

7123645440 is a wasteful number, since it uses less digits than its factorization.

7123645440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 7123645440 is about 84401.6909783210. The cubic root of 7123645440 is about 1924.1286157885.

The spelling of 7123645440 in words is "seven billion, one hundred twenty-three million, six hundred forty-five thousand, four hundred forty".