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64280623680 = 26335713219331
BaseRepresentation
bin111011110111011011…
…000111101001000000
320010220211100000112000
4323313123013221000
52023121314424210
645310300504000
74433635200060
oct736733075100
9203824300460
1064280623680
1125296810a89
121055b54b000
1360a5554100
14317b1b53a0
151a1345aac0
hexef76c7a40

64280623680 has 1344 divisors, whose sum is σ = 296294860800. Its totient is φ = 12809871360.

The previous prime is 64280623663. The next prime is 64280623681. The reversal of 64280623680 is 8632608246.

64280623680 is a `hidden beast` number, since 6 + 4 + 280 + 6 + 2 + 368 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (64280623681) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 194201115 + ... + 194201445.

Almost surely, 264280623680 is an apocalyptic number.

64280623680 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 64280623680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148147430400).

64280623680 is an abundant number, since it is smaller than the sum of its proper divisors (232014237120).

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

64280623680 is a wasteful number, since it uses less digits than its factorization.

64280623680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 64280623680 in words is "sixty-four billion, two hundred eighty million, six hundred twenty-three thousand, six hundred eighty".