8754729984 has 792 divisors, whose sum is σ = 34595151552. Its totient is φ = 2070282240.

The previous prime is 8754729967. The next prime is 8754730003. The reversal of 8754729984 is 4899274578.

8754729984 is a `hidden beast` number, since 8 + 7 + 547 + 2 + 9 + 9 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (792).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 119927772 + ... + 119927844.

Almost surely, 2^8754729984 is an apocalyptic number.

8754729984 is a gapful number since it is divisible by the number (84) 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 8754729984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17297575776).

8754729984 is an abundant number, since it is smaller than the sum of its proper divisors (25840421568).

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

8754729984 is a wasteful number, since it uses less digits than its factorization.

8754729984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 109 counting only the distinct ones).

The product of its digits is 40642560, while the sum is 63.

The square root of 8754729984 is about 93566.7140814510. The cubic root of 8754729984 is about 2061.0138899430.

The spelling of 8754729984 in words is "eight billion, seven hundred fifty-four million, seven hundred twenty-nine thousand, nine hundred eighty-four".