7687428000 has 576 divisors, whose sum is σ = 30261434112. Its totient is φ = 1671014400.

The previous prime is 7687427939. The next prime is 7687428013. The reversal of 7687428000 is 8247867.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44435914 + ... + 44436086.

It is an arithmetic number, because the mean of its divisors is an integer number (52537212).

Almost surely, 2^7687428000 is an apocalyptic number.

7687428000 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 7687428000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15130717056).

7687428000 is an abundant number, since it is smaller than the sum of its proper divisors (22574006112).

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

7687428000 is a wasteful number, since it uses less digits than its factorization.

7687428000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 42.

The square root of 7687428000 is about 87677.9789913066. The cubic root of 7687428000 is about 1973.6055317034.

The spelling of 7687428000 in words is "seven billion, six hundred eighty-seven million, four hundred twenty-eight thousand".