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66090699360 = 2534571017213
BaseRepresentation
bin111101100011010100…
…000000101001100000
320022120222022101120000
4331203110000221200
52040323204334420
650210041020000
74526534450460
oct754324005140
9208528271500
1066090699360
11260355276a4
1210985784600
1363035612ca
1432ad751ba0
151abc304690
hexf63500a60

66090699360 has 480 divisors, whose sum is σ = 269242408512. Its totient is φ = 14954803200.

The previous prime is 66090699313. The next prime is 66090699361. The reversal of 66090699360 is 6399609066.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a junction number, because it is equal to n+sod(n) for n = 66090699297 and 66090699306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66090699361) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9159114 + ... + 9166326.

Almost surely, 266090699360 is an apocalyptic number.

66090699360 is a gapful number since it is divisible by the number (60) 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 66090699360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134621204256).

66090699360 is an abundant number, since it is smaller than the sum of its proper divisors (203151709152).

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

66090699360 is a wasteful number, since it uses less digits than its factorization.

66090699360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7348 (or 7331 counting only the distinct ones).

The product of its (nonzero) digits is 2834352, while the sum is 54.

The spelling of 66090699360 in words is "sixty-six billion, ninety million, six hundred ninety-nine thousand, three hundred sixty".