7640400567 has 8 divisors (see below), whose sum is σ = 10630122624. Its totient is φ = 4872139448.

The previous prime is 7640400541. The next prime is 7640400571. The reversal of 7640400567 is 7650040467.

7640400567 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 7640400567 - 2¹² = 7640396471 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7640400367) 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 7 ways as a sum of consecutive naturals, for example, 55365153 + ... + 55365290.

It is an arithmetic number, because the mean of its divisors is an integer number (1328765328).

Almost surely, 2^7640400567 is an apocalyptic number.

7640400567 is a deficient number, since it is larger than the sum of its proper divisors (2989722057).

7640400567 is a wasteful number, since it uses less digits than its factorization.

7640400567 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110730469.

The product of its (nonzero) digits is 141120, while the sum is 39.

The square root of 7640400567 is about 87409.3848908686. The cubic root of 7640400567 is about 1969.5728214772.

The spelling of 7640400567 in words is "seven billion, six hundred forty million, four hundred thousand, five hundred sixty-seven".