7667268840 has 640 divisors, whose sum is σ = 32647000320. Its totient is φ = 1567641600.

The previous prime is 7667268803. The next prime is 7667268841. The reversal of 7667268840 is 488627667.

It is a super-2 number, since 2×7667268840² (a number of 21 digits) contains 22 as substring.

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 (7667268841) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 18211830 + ... + 18212250.

It is an arithmetic number, because the mean of its divisors is an integer number (51010938).

Almost surely, 2^7667268840 is an apocalyptic number.

7667268840 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 7667268840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16323500160).

7667268840 is an abundant number, since it is smaller than the sum of its proper divisors (24979731480).

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

7667268840 is a wasteful number, since it uses less digits than its factorization.

7667268840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The square root of 7667268840 is about 87562.9421616245. The cubic root of 7667268840 is about 1971.8788571767.

The spelling of 7667268840 in words is "seven billion, six hundred sixty-seven million, two hundred sixty-eight thousand, eight hundred forty".