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76622209664 = 27711132157293
BaseRepresentation
bin100011101011100001…
…0100010001010000000
321022202221012112202012
41013113002202022000
52223410241202124
655111051512052
75351525015240
oct1072702421200
9238687175665
1076622209664
112a54a270220
1212a24758628
1372c13b7100
1439cc30db20
151ed6ba1e0e
hex11d70a2280

76622209664 has 384 divisors, whose sum is σ = 208097527680. Its totient is φ = 27287470080.

The previous prime is 76622209661. The next prime is 76622209691. The reversal of 76622209664 is 46690222667.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (76622209661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 261509102 + ... + 261509394.

It is an arithmetic number, because the mean of its divisors is an integer number (541920645).

Almost surely, 276622209664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76622209664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104048763840).

76622209664 is an abundant number, since it is smaller than the sum of its proper divisors (131475318016).

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

76622209664 is a wasteful number, since it uses less digits than its factorization.

76622209664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 50.

The spelling of 76622209664 in words is "seventy-six billion, six hundred twenty-two million, two hundred nine thousand, six hundred sixty-four".