7161769440 has 576 divisors, whose sum is σ = 30447083520. Its totient is φ = 1564738560.

The previous prime is 7161769379. The next prime is 7161769441. The reversal of 7161769440 is 449671617.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7161769441) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4867905 + ... + 4869375.

It is an arithmetic number, because the mean of its divisors is an integer number (52859520).

Almost surely, 2^7161769440 is an apocalyptic number.

7161769440 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 7161769440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15223541760).

7161769440 is an abundant number, since it is smaller than the sum of its proper divisors (23285314080).

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

7161769440 is a wasteful number, since it uses less digits than its factorization.

7161769440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1532 (or 1511 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 7161769440 is about 84627.2381683344. The cubic root of 7161769440 is about 1927.5549985064.

The spelling of 7161769440 in words is "seven billion, one hundred sixty-one million, seven hundred sixty-nine thousand, four hundred forty".