7833706860672 has 4096 divisors, whose sum is σ = 34111881216000. Its totient is φ = 1707982848000.

The previous prime is 7833706860563. The next prime is 7833706860697. The reversal of 7833706860672 is 2760686073387.

7833706860672 is a `hidden beast` number, since 7 + 83 + 370 + 68 + 60 + 6 + 72 = 666.

It is a super-2 number, since 2×7833706860672² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 147805789798 + ... + 147805789850.

It is an arithmetic number, because the mean of its divisors is an integer number (8328096000).

Almost surely, 2^{7833706860672} is an apocalyptic number.

7833706860672 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 7833706860672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17055940608000).

7833706860672 is an abundant number, since it is smaller than the sum of its proper divisors (26278174355328).

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

7833706860672 is a wasteful number, since it uses less digits than its factorization.

7833706860672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 85349376, while the sum is 63.

The spelling of 7833706860672 in words is "seven trillion, eight hundred thirty-three billion, seven hundred six million, eight hundred sixty thousand, six hundred seventy-two".