7634066440 has 256 divisors, whose sum is σ = 23690257920. Its totient is φ = 2136637440.

The previous prime is 7634066389. The next prime is 7634066443. The reversal of 7634066440 is 446604367.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 7634066393 and 7634066402.

It is not an unprimeable number, because it can be changed into a prime (7634066443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1478904 + ... + 1484056.

It is an arithmetic number, because the mean of its divisors is an integer number (92540070).

Almost surely, 2^7634066440 is an apocalyptic number.

7634066440 is a gapful number since it is divisible by the number (70) 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 7634066440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11845128960).

7634066440 is an abundant number, since it is smaller than the sum of its proper divisors (16056191480).

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

7634066440 is a wasteful number, since it uses less digits than its factorization.

7634066440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5232 (or 5228 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 40.

The square root of 7634066440 is about 87373.1448443971. The cubic root of 7634066440 is about 1969.0283921898.

The spelling of 7634066440 in words is "seven billion, six hundred thirty-four million, sixty-six thousand, four hundred forty".