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379679700960 = 2532571011392683
BaseRepresentation
bin1011000011001101010…
…11000111011111100000
31100022000112100020001200
411201212223013133200
522210041000412320
6450231125401200
736300550131450
oct5414653073740
91308015306050
10379679700960
11137026324a2a
1261701b69200
1329a5a7a9361
141453b541d60
159d229ae290
hex5866ac77e0

379679700960 has 576 divisors, whose sum is σ = 1506731466240. Its totient is φ = 85274726400.

The previous prime is 379679700929. The next prime is 379679701013. The reversal of 379679700960 is 69007976973.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 141511779 + ... + 141514461.

It is an arithmetic number, because the mean of its divisors is an integer number (2615853240).

Almost surely, 2379679700960 is an apocalyptic number.

379679700960 is a gapful number since it is divisible by the number (30) 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 379679700960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (753365733120).

379679700960 is an abundant number, since it is smaller than the sum of its proper divisors (1127051765280).

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

379679700960 is a wasteful number, since it uses less digits than its factorization.

379679700960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2951 (or 2940 counting only the distinct ones).

The product of its (nonzero) digits is 27005076, while the sum is 63.

The spelling of 379679700960 in words is "three hundred seventy-nine billion, six hundred seventy-nine million, seven hundred thousand, nine hundred sixty".