381877493760 has 1512 divisors, whose sum is σ = 1654169556780. Its totient is φ = 84276412416.

The previous prime is 381877493741. The next prime is 381877493791. The reversal of 381877493760 is 67394778183.

381877493760 is a `hidden beast` number, since 3 + 8 + 1 + 8 + 77 + 493 + 76 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 380560674816 + 1316818944 = 616896^2 + 36288^2 .

It is a tau number, because it is divible by the number of its divisors (1512).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 13168189426 + ... + 13168189454.

Almost surely, 2^381877493760 is an apocalyptic number.

381877493760 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 381877493760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (827084778390).

381877493760 is an abundant number, since it is smaller than the sum of its proper divisors (1272292063020).

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

381877493760 is an frugal number, since it uses more digits than its factorization.

381877493760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 42674688, while the sum is 63.

The spelling of 381877493760 in words is "three hundred eighty-one billion, eight hundred seventy-seven million, four hundred ninety-three thousand, seven hundred sixty".