7267634640 has 480 divisors, whose sum is σ = 29738382336. Its totient is φ = 1552711680.

The previous prime is 7267634597. The next prime is 7267634659. The reversal of 7267634640 is 464367627.

7267634640 is a `hidden beast` number, since 7 + 2 + 6 + 7 + 634 + 6 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23219124 + ... + 23219436.

Almost surely, 2^7267634640 is an apocalyptic number.

7267634640 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 7267634640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14869191168).

7267634640 is an abundant number, since it is smaller than the sum of its proper divisors (22470747696).

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

7267634640 is a wasteful number, since it uses less digits than its factorization.

7267634640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 45.

The square root of 7267634640 is about 85250.4231074544. The cubic root of 7267634640 is about 1937.0062799711.

The spelling of 7267634640 in words is "seven billion, two hundred sixty-seven million, six hundred thirty-four thousand, six hundred forty".