7627213776 has 360 divisors, whose sum is σ = 26088892704. Its totient is φ = 1902942720.

The previous prime is 7627213717. The next prime is 7627213801. The reversal of 7627213776 is 6773127267.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11037591 + ... + 11038281.

Almost surely, 2^7627213776 is an apocalyptic number.

7627213776 is a gapful number since it is divisible by the number (76) 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 7627213776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13044446352).

7627213776 is an abundant number, since it is smaller than the sum of its proper divisors (18461678928).

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

7627213776 is a wasteful number, since it uses less digits than its factorization.

7627213776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 767 (or 735 counting only the distinct ones).

The product of its digits is 1037232, while the sum is 48.

The square root of 7627213776 is about 87333.9211074368. The cubic root of 7627213776 is about 1968.4390544966.

The spelling of 7627213776 in words is "seven billion, six hundred twenty-seven million, two hundred thirteen thousand, seven hundred seventy-six".