379060734960 has 480 divisors, whose sum is σ = 1381044607488. Its totient is φ = 96443550720.

The previous prime is 379060734851. The next prime is 379060734979. The reversal of 379060734960 is 69437060973.

379060734960 is a `hidden beast` number, since 3 + 7 + 90 + 60 + 7 + 3 + 496 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 379060734897 and 379060734906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 233842950 + ... + 233844570.

Almost surely, 2^379060734960 is an apocalyptic number.

379060734960 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 379060734960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690522303744).

379060734960 is an abundant number, since it is smaller than the sum of its proper divisors (1001983872528).

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

379060734960 is a wasteful number, since it uses less digits than its factorization.

379060734960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2195 (or 2177 counting only the distinct ones).

The product of its (nonzero) digits is 5143824, while the sum is 54.

The spelling of 379060734960 in words is "three hundred seventy-nine billion, sixty million, seven hundred thirty-four thousand, nine hundred sixty".