7461172440 has 160 divisors (see below), whose sum is σ = 25110946080. Its totient is φ = 1987020288.

The previous prime is 7461172429. The next prime is 7461172441. The reversal of 7461172440 is 442711647.

It is a happy number.

7461172440 is a `hidden beast` number, since 7 + 46 + 1 + 172 + 440 = 666.

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 = 7461172395 and 7461172404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7461172441) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4642117 + ... + 4643723.

It is an arithmetic number, because the mean of its divisors is an integer number (156943413).

Almost surely, 2^7461172440 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 7461172440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12555473040).

7461172440 is an abundant number, since it is smaller than the sum of its proper divisors (17649773640).

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

7461172440 is a wasteful number, since it uses less digits than its factorization.

7461172440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3063 (or 3050 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 7461172440 is about 86378.0784690190. The cubic root of 7461172440 is about 1954.0500911349.

The spelling of 7461172440 in words is "seven billion, four hundred sixty-one million, one hundred seventy-two thousand, four hundred forty".