806072746752 has 720 divisors, whose sum is σ = 3114066376960. Its totient is φ = 201392676864.

The previous prime is 806072746727. The next prime is 806072746757. The reversal of 806072746752 is 257647270608.

806072746752 is a `hidden beast` number, since 8 + 0 + 60 + 72 + 7 + 467 + 52 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (806072746757) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 35841303 + ... + 35863785.

Almost surely, 2^806072746752 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 806072746752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1557033188480).

806072746752 is an abundant number, since it is smaller than the sum of its proper divisors (2307993630208).

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

806072746752 is a wasteful number, since it uses less digits than its factorization.

806072746752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22550 (or 22527 counting only the distinct ones).

The product of its (nonzero) digits is 7902720, while the sum is 54.

The spelling of 806072746752 in words is "eight hundred six billion, seventy-two million, seven hundred forty-six thousand, seven hundred fifty-two".