7672557816 has 192 divisors, whose sum is σ = 26867393280. Its totient is φ = 1992833280.

The previous prime is 7672557803. The next prime is 7672557821. The reversal of 7672557816 is 6187552767.

It is a happy number.

7672557816 is a `hidden beast` number, since 7 + 6 + 7 + 2 + 557 + 81 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 47 ways as a sum of consecutive naturals, for example, 124060 + ... + 175316.

It is an arithmetic number, because the mean of its divisors is an integer number (139934340).

Almost surely, 2^7672557816 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 7672557816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13433696640).

7672557816 is an abundant number, since it is smaller than the sum of its proper divisors (19194835464).

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

7672557816 is a wasteful number, since it uses less digits than its factorization.

7672557816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51296 (or 51280 counting only the distinct ones).

The product of its digits is 4939200, while the sum is 54.

The square root of 7672557816 is about 87593.1379504125. The cubic root of 7672557816 is about 1972.3321616940.

The spelling of 7672557816 in words is "seven billion, six hundred seventy-two million, five hundred fifty-seven thousand, eight hundred sixteen".