7661867328 has 112 divisors (see below), whose sum is σ = 22702479360. Its totient is φ = 2533773312.

The previous prime is 7661867327. The next prime is 7661867329. The reversal of 7661867328 is 8237681667.

It is an interprime number because it is at equal distance from previous prime (7661867327) and next prime (7661867329).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7661867321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 202000 + ... + 236912.

Almost surely, 2^7661867328 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 7661867328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11351239680).

7661867328 is an abundant number, since it is smaller than the sum of its proper divisors (15040612032).

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

7661867328 is a wasteful number, since it uses less digits than its factorization.

7661867328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35061 (or 35045 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The square root of 7661867328 is about 87532.0931316052. The cubic root of 7661867328 is about 1971.4156922734.

The spelling of 7661867328 in words is "seven billion, six hundred sixty-one million, eight hundred sixty-seven thousand, three hundred twenty-eight".