7749535680 has 560 divisors, whose sum is σ = 29939833440. Its totient is φ = 1895104512.

The previous prime is 7749535649. The next prime is 7749535693. The reversal of 7749535680 is 865359477.

7749535680 is a `hidden beast` number, since 7 + 7 + 49 + 535 + 68 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 18947316 + ... + 18947724.

Almost surely, 2^7749535680 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 7749535680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14969916720).

7749535680 is an abundant number, since it is smaller than the sum of its proper divisors (22190297760).

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

7749535680 is a wasteful number, since it uses less digits than its factorization.

7749535680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The square root of 7749535680 is about 88031.4471084055. The cubic root of 7749535680 is about 1978.9062830137.

The spelling of 7749535680 in words is "seven billion, seven hundred forty-nine million, five hundred thirty-five thousand, six hundred eighty".