7627988480 has 160 divisors (see below), whose sum is σ = 21047938560. Its totient is φ = 2597068800.

The previous prime is 7627988443. The next prime is 7627988497. The reversal of 7627988480 is 848897267.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2704511 + ... + 2707329.

It is an arithmetic number, because the mean of its divisors is an integer number (131549616).

Almost surely, 2^7627988480 is an apocalyptic number.

7627988480 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 7627988480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10523969280).

7627988480 is an abundant number, since it is smaller than the sum of its proper divisors (13419950080).

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

7627988480 is a wasteful number, since it uses less digits than its factorization.

7627988480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3000 (or 2984 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 59.

The square root of 7627988480 is about 87338.3562932117. The cubic root of 7627988480 is about 1968.5056977046.

The spelling of 7627988480 in words is "seven billion, six hundred twenty-seven million, nine hundred eighty-eight thousand, four hundred eighty".