8820676500480 has 704 divisors, whose sum is σ = 34002235545600. Its totient is φ = 2155561943040.

The previous prime is 8820676500463. The next prime is 8820676500487. The reversal of 8820676500480 is 840056760288.

8820676500480 is a `hidden beast` number, since 8 + 8 + 20 + 6 + 76 + 500 + 48 + 0 = 666.

It is a super-2 number, since 2×8820676500480² (a number of 27 digits) contains 22 as substring.

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 (8820676500487) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 249782025 + ... + 249817335.

Almost surely, 2^{8820676500480} is an apocalyptic number.

8820676500480 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 8820676500480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17001117772800).

8820676500480 is an abundant number, since it is smaller than the sum of its proper divisors (25181559045120).

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

8820676500480 is a wasteful number, since it uses less digits than its factorization.

8820676500480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35497 (or 35473 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 8820676500480 in words is "eight trillion, eight hundred twenty billion, six hundred seventy-six million, five hundred thousand, four hundred eighty".