7601890816 has 240 divisors, whose sum is σ = 18247832064. Its totient is φ = 3133734912.

The previous prime is 7601890789. The next prime is 7601890889. The reversal of 7601890816 is 6180981067.

It is a Harshad number since it is a multiple of its sum of digits (46).

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 23 ways as a sum of consecutive naturals, for example, 59857345 + ... + 59857471.

Almost surely, 2^7601890816 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 7601890816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9123916032).

7601890816 is an abundant number, since it is smaller than the sum of its proper divisors (10645941248).

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

7601890816 is a wasteful number, since it uses less digits than its factorization.

7601890816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 46.

The square root of 7601890816 is about 87188.8227698941. The cubic root of 7601890816 is about 1966.2581807684.

The spelling of 7601890816 in words is "seven billion, six hundred one million, eight hundred ninety thousand, eight hundred sixteen".