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7690678239816 = 23341121361179691
BaseRepresentation
bin110111111101010000000…
…1001010000001001001000
31000020012222120220220010000
41233322200021100021020
52002001002112133231
624205014313123000
71422430114303305
oct157724011201110
930205876826100
107690678239816
1124a5664409600
12a426086b9460
1343a2c6768b30
141c83334ca0ac
15d50bb21d6e6
hex6fea0250248

7690678239816 has 960 divisors, whose sum is σ = 26099163921600. Its totient is φ = 2101106304000.

The previous prime is 7690678239809. The next prime is 7690678239851. The reversal of 7690678239816 is 6189328760967.

7690678239816 is a `hidden beast` number, since 7 + 6 + 90 + 67 + 82 + 398 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 239 ways as a sum of consecutive naturals, for example, 11129780031 + ... + 11129780721.

It is an arithmetic number, because the mean of its divisors is an integer number (27186629085).

Almost surely, 27690678239816 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 7690678239816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13049581960800).

7690678239816 is an abundant number, since it is smaller than the sum of its proper divisors (18408485681784).

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

7690678239816 is a wasteful number, since it uses less digits than its factorization.

7690678239816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 984 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 329204736, while the sum is 72.

The spelling of 7690678239816 in words is "seven trillion, six hundred ninety billion, six hundred seventy-eight million, two hundred thirty-nine thousand, eight hundred sixteen".