7084749672 has 768 divisors, whose sum is σ = 27946598400. Its totient is φ = 1632960000.

The previous prime is 7084749671. The next prime is 7084749689. The reversal of 7084749672 is 2769474807.

7084749672 is a `hidden beast` number, since 7 + 0 + 84 + 7 + 496 + 72 = 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 (7084749671) 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, 46918797 + ... + 46918947.

It is an arithmetic number, because the mean of its divisors is an integer number (36388800).

Almost surely, 2^7084749672 is an apocalyptic number.

7084749672 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 7084749672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13973299200).

7084749672 is an abundant number, since it is smaller than the sum of its proper divisors (20861848728).

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

7084749672 is a wasteful number, since it uses less digits than its factorization.

7084749672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 54.

The square root of 7084749672 is about 84170.9550379464. The cubic root of 7084749672 is about 1920.6202488281.

The spelling of 7084749672 in words is "seven billion, eighty-four million, seven hundred forty-nine thousand, six hundred seventy-two".