7679412970272 has 144 divisors (see below), whose sum is σ = 21932695905120. Its totient is φ = 2548760933376.

The previous prime is 7679412970261. The next prime is 7679412970279. The reversal of 7679412970272 is 2720792149767.

7679412970272 is a `hidden beast` number, since 7 + 6 + 79 + 4 + 1 + 297 + 0 + 272 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (7679412970279) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84214879 + ... + 84306017.

It is an arithmetic number, because the mean of its divisors is an integer number (152310388230).

Almost surely, 2^{7679412970272} is an apocalyptic number.

7679412970272 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 7679412970272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10966347952560).

7679412970272 is an abundant number, since it is smaller than the sum of its proper divisors (14253282934848).

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

7679412970272 is a wasteful number, since it uses less digits than its factorization.

7679412970272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92415 (or 92404 counting only the distinct ones).

The product of its (nonzero) digits is 37340352, while the sum is 63.

The spelling of 7679412970272 in words is "seven trillion, six hundred seventy-nine billion, four hundred twelve million, nine hundred seventy thousand, two hundred seventy-two".