7840067040 has 576 divisors, whose sum is σ = 30512401920. Its totient is φ = 1818685440.

The previous prime is 7840067023. The next prime is 7840067041. The reversal of 7840067040 is 407600487.

It is a happy number.

It is a super-2 number, since 2×7840067040² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 7840066986 and 7840067004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7840067041) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 56403291 + ... + 56403429.

It is an arithmetic number, because the mean of its divisors is an integer number (52972920).

Almost surely, 2^7840067040 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 7840067040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15256200960).

7840067040 is an abundant number, since it is smaller than the sum of its proper divisors (22672334880).

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

7840067040 is a wasteful number, since it uses less digits than its factorization.

7840067040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 7840067040 is about 88544.1530537167. The cubic root of 7840067040 is about 1986.5824391619.

The spelling of 7840067040 in words is "seven billion, eight hundred forty million, sixty-seven thousand, forty".