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8320663680 = 27357837459
BaseRepresentation
bin1111011111111001…
…10100000010000000
3210110212210111202220
413233330310002000
5114020042214210
63453352411040
7413123321460
oct75774640200
923425714686
108320663680
11358a88585a
1217426a6a80
13a27ac7444
1458d0d9ba0
1533a73bc70
hex1eff34080

8320663680 has 256 divisors, whose sum is σ = 30680294400. Its totient is φ = 1878700032.

The previous prime is 8320663657. The next prime is 8320663721. The reversal of 8320663680 is 863660238.

It is a super-2 number, since 2×83206636802 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1111791 + ... + 1119249.

It is an arithmetic number, because the mean of its divisors is an integer number (119844900).

Almost surely, 28320663680 is an apocalyptic number.

8320663680 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 8320663680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15340147200).

8320663680 is an abundant number, since it is smaller than the sum of its proper divisors (22359630720).

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

8320663680 is a wasteful number, since it uses less digits than its factorization.

8320663680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7571 (or 7559 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The square root of 8320663680 is about 91217.6719720472. The cubic root of 8320663680 is about 2026.3726855053.

The spelling of 8320663680 in words is "eight billion, three hundred twenty million, six hundred sixty-three thousand, six hundred eighty".