6772612347072 has 1568 divisors, whose sum is σ = 24480663540480. Its totient is φ = 1831035248640.

The previous prime is 6772612346971. The next prime is 6772612347103. The reversal of 6772612347072 is 2707432162776.

6772612347072 is a `hidden beast` number, since 6 + 77 + 26 + 12 + 3 + 470 + 72 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 37835823079 + ... + 37835823257.

Almost surely, 2^{6772612347072} 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 6772612347072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12240331770240).

6772612347072 is an abundant number, since it is smaller than the sum of its proper divisors (17708051193408).

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

6772612347072 is a wasteful number, since it uses less digits than its factorization.

6772612347072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 8297856, while the sum is 54.

The spelling of 6772612347072 in words is "six trillion, seven hundred seventy-two billion, six hundred twelve million, three hundred forty-seven thousand, seventy-two".