7504873992 has 768 divisors, whose sum is σ = 29417472000. Its totient is φ = 1724405760.

The previous prime is 7504873991. The next prime is 7504873997. The reversal of 7504873992 is 2993784057.

7504873992 is a `hidden beast` number, since 75 + 0 + 487 + 3 + 9 + 92 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (7504873991) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 59093433 + ... + 59093559.

It is an arithmetic number, because the mean of its divisors is an integer number (38304000).

Almost surely, 2^7504873992 is an apocalyptic number.

7504873992 is a gapful number since it is divisible by the number (72) 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 7504873992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14708736000).

7504873992 is an abundant number, since it is smaller than the sum of its proper divisors (21912598008).

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

7504873992 is a wasteful number, since it uses less digits than its factorization.

7504873992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The square root of 7504873992 is about 86630.6758140556. The cubic root of 7504873992 is about 1957.8577517330.

The spelling of 7504873992 in words is "seven billion, five hundred four million, eight hundred seventy-three thousand, nine hundred ninety-two".