8276748480 has 1680 divisors, whose sum is σ = 41203229760. Its totient is φ = 1532805120.

The previous prime is 8276748449. The next prime is 8276748481. The reversal of 8276748480 is 848476728.

It is a happy number.

8276748480 is a `hidden beast` number, since 8 + 27 + 67 + 484 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8276748481) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 285405106 + ... + 285405134.

It is an arithmetic number, because the mean of its divisors is an integer number (24525732).

Almost surely, 2^8276748480 is an apocalyptic number.

8276748480 is a gapful number since it is divisible by the number (80) 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 8276748480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20601614880).

8276748480 is an abundant number, since it is smaller than the sum of its proper divisors (32926481280).

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

8276748480 is a wasteful number, since it uses less digits than its factorization.

8276748480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 4816896, while the sum is 54.

The square root of 8276748480 is about 90976.6370009356. The cubic root of 8276748480 is about 2022.8014327826.

The spelling of 8276748480 in words is "eight billion, two hundred seventy-six million, seven hundred forty-eight thousand, four hundred eighty".