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66409350720 = 2635318925073
BaseRepresentation
bin111101110110010011…
…100100011001000000
320100102011220120001020
4331312103210121000
52042001243210340
650301422505440
74540454111256
oct756623443100
9210364816036
1066409350720
1126189390129
1210a54435280
13635458c6cb
1432ddbbc5d6
151ada2999d0
hexf764e4640

66409350720 has 224 divisors, whose sum is σ = 220105589760. Its totient is φ = 16944660480.

The previous prime is 66409350673. The next prime is 66409350743. The reversal of 66409350720 is 2705390466.

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 31 ways as a sum of consecutive naturals, for example, 2636104 + ... + 2661176.

It is an arithmetic number, because the mean of its divisors is an integer number (982614240).

Almost surely, 266409350720 is an apocalyptic number.

66409350720 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 66409350720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110052794880).

66409350720 is an abundant number, since it is smaller than the sum of its proper divisors (153696239040).

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

66409350720 is a wasteful number, since it uses less digits than its factorization.

66409350720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25213 (or 25203 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 42.

The spelling of 66409350720 in words is "sixty-six billion, four hundred nine million, three hundred fifty thousand, seven hundred twenty".