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679877976960 = 273257131916791
BaseRepresentation
bin10011110010010111110…
…00101010001110000000
32101222212212100201100100
421321023320222032000
542114342230230320
61240155344322400
7100056003311220
oct11711370521600
92358785321310
10679877976960
11242375436996
12ab921913400
134c15c70a630
1424c98b38080
1512a42786790
hex9e4be2a380

679877976960 has 768 divisors, whose sum is σ = 2905037291520. Its totient is φ = 142674739200.

The previous prime is 679877976917. The next prime is 679877977021. The reversal of 679877976960 is 69679778976.

It is a self number, because there is not a number n which added to its sum of digits gives 679877976960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 100111165 + ... + 100117955.

It is an arithmetic number, because the mean of its divisors is an integer number (3782600640).

Almost surely, 2679877976960 is an apocalyptic number.

679877976960 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 679877976960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1452518645760).

679877976960 is an abundant number, since it is smaller than the sum of its proper divisors (2225159314560).

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

679877976960 is a wasteful number, since it uses less digits than its factorization.

679877976960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7027 (or 7012 counting only the distinct ones).

The product of its (nonzero) digits is 3024568512, while the sum is 81.

The spelling of 679877976960 in words is "six hundred seventy-nine billion, eight hundred seventy-seven million, nine hundred seventy-six thousand, nine hundred sixty".