7626727680 has 1152 divisors, whose sum is σ = 32635975680. Its totient is φ = 1486356480.

The previous prime is 7626727673. The next prime is 7626727687. The reversal of 7626727680 is 867276267.

It is an interprime number because it is at equal distance from previous prime (7626727673) and next prime (7626727687).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (7626727687) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 177365739 + ... + 177365781.

It is an arithmetic number, because the mean of its divisors is an integer number (28329840).

Almost surely, 2^7626727680 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 7626727680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16317987840).

7626727680 is an abundant number, since it is smaller than the sum of its proper divisors (25009248000).

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

7626727680 is a wasteful number, since it uses less digits than its factorization.

7626727680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 51.

The square root of 7626727680 is about 87331.1380894581. The cubic root of 7626727680 is about 1968.3972362256.

The spelling of 7626727680 in words is "seven billion, six hundred twenty-six million, seven hundred twenty-seven thousand, six hundred eighty".