7687433820 has 192 divisors, whose sum is σ = 24834700800. Its totient is φ = 1757168640.

The previous prime is 7687433777. The next prime is 7687433827. The reversal of 7687433820 is 283347867.

It is a self number, because there is not a number n which added to its sum of digits gives 7687433820.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7687433827) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2870322 + ... + 2872998.

It is an arithmetic number, because the mean of its divisors is an integer number (129347400).

Almost surely, 2^7687433820 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 7687433820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12417350400).

7687433820 is an abundant number, since it is smaller than the sum of its proper divisors (17147266980).

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

7687433820 is a wasteful number, since it uses less digits than its factorization.

7687433820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2948 (or 2946 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 48.

The square root of 7687433820 is about 87678.0121809339. The cubic root of 7687433820 is about 1973.6060297625.

The spelling of 7687433820 in words is "seven billion, six hundred eighty-seven million, four hundred thirty-three thousand, eight hundred twenty".