7485682176 has 480 divisors, whose sum is σ = 26477858880. Its totient is φ = 2080899072.

The previous prime is 7485682163. The next prime is 7485682177. The reversal of 7485682176 is 6712865847.

7485682176 is a `hidden beast` number, since 7 + 4 + 8 + 568 + 2 + 1 + 76 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7485682177) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29127040 + ... + 29127296.

It is an arithmetic number, because the mean of its divisors is an integer number (55162206).

Almost surely, 2^7485682176 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 7485682176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13238929440).

7485682176 is an abundant number, since it is smaller than the sum of its proper divisors (18992176704).

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

7485682176 is a wasteful number, since it uses less digits than its factorization.

7485682176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 312 counting only the distinct ones).

The product of its digits is 4515840, while the sum is 54.

The square root of 7485682176 is about 86519.8368930501. The cubic root of 7485682176 is about 1956.1874185276.

The spelling of 7485682176 in words is "seven billion, four hundred eighty-five million, six hundred eighty-two thousand, one hundred seventy-six".