7685484600 has 384 divisors, whose sum is σ = 25600861440. Its totient is φ = 1904394240.

The previous prime is 7685484533. The next prime is 7685484617. The reversal of 7685484600 is 64845867.

It is a self number, because there is not a number n which added to its sum of digits gives 7685484600.

It is a congruent number.

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, 79231752 + ... + 79231848.

It is an arithmetic number, because the mean of its divisors is an integer number (66668910).

Almost surely, 2^7685484600 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 7685484600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12800430720).

7685484600 is an abundant number, since it is smaller than the sum of its proper divisors (17915376840).

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

7685484600 is a wasteful number, since it uses less digits than its factorization.

7685484600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 48.

The square root of 7685484600 is about 87666.8956904486. The cubic root of 7685484600 is about 1973.4392069697.

The spelling of 7685484600 in words is "seven billion, six hundred eighty-five million, four hundred eighty-four thousand, six hundred".