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676740427776 = 21236732377
BaseRepresentation
bin10011101100100001101…
…11110111000000000000
32101200210012111201000000
421312100313313000000
542041431022142101
61234520144000000
766615154503420
oct11662067670000
92350705451000
10676740427776
11241005368836
12ab1a7000000
134ba7c69645a
1424a7c168480
151290c0c2486
hex9d90df7000

676740427776 has 364 divisors, whose sum is σ = 2318980483312. Its totient is φ = 193348435968.

The previous prime is 676740427729. The next prime is 676740427789. The reversal of 676740427776 is 677724047676.

676740427776 is a `hidden beast` number, since 6 + 76 + 74 + 0 + 427 + 7 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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 27 ways as a sum of consecutive naturals, for example, 20885700 + ... + 20918076.

Almost surely, 2676740427776 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 676740427776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1159490241656).

676740427776 is an abundant number, since it is smaller than the sum of its proper divisors (1642240055536).

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

676740427776 is an frugal number, since it uses more digits than its factorization.

676740427776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32426 (or 32389 counting only the distinct ones).

The product of its (nonzero) digits is 116169984, while the sum is 63.

The spelling of 676740427776 in words is "six hundred seventy-six billion, seven hundred forty million, four hundred twenty-seven thousand, seven hundred seventy-six".