8151068640 has 192 divisors, whose sum is σ = 30164908032. Its totient is φ = 1824000000.

The previous prime is 8151068633. The next prime is 8151068677. The reversal of 8151068640 is 468601518.

It is a super-3 number, since 3×8151068640³ (a number of 31 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9265 + ... + 128015.

It is an arithmetic number, because the mean of its divisors is an integer number (157108896).

Almost surely, 2^8151068640 is an apocalyptic number.

8151068640 is a gapful number since it is divisible by the number (80) 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 8151068640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15082454016).

8151068640 is an abundant number, since it is smaller than the sum of its proper divisors (22013839392).

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

8151068640 is a wasteful number, since it uses less digits than its factorization.

8151068640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118793 (or 118785 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The square root of 8151068640 is about 90283.2688818920. The cubic root of 8151068640 is about 2012.5106321982.

The spelling of 8151068640 in words is "eight billion, one hundred fifty-one million, sixty-eight thousand, six hundred forty".