7940540160 has 648 divisors, whose sum is σ = 33206178096. Its totient is φ = 1811496960.

The previous prime is 7940540159. The next prime is 7940540203. The reversal of 7940540160 is 610450497.

7940540160 is a `hidden beast` number, since 79 + 40 + 540 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 15240700 + ... + 15241220.

It is an arithmetic number, because the mean of its divisors is an integer number (51244102).

Almost surely, 2^7940540160 is an apocalyptic number.

7940540160 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 7940540160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16603089048).

7940540160 is an abundant number, since it is smaller than the sum of its proper divisors (25265637936).

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

7940540160 is an equidigital number, since it uses as much as digits as its factorization.

7940540160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 7940540160 is about 89109.7085619743. The cubic root of 7940540160 is about 1995.0326864451.

The spelling of 7940540160 in words is "seven billion, nine hundred forty million, five hundred forty thousand, one hundred sixty".