1877005140864 has 768 divisors, whose sum is σ = 6447634836480. Its totient is φ = 472629510144.

The previous prime is 1877005140863. The next prime is 1877005140917. The reversal of 1877005140864 is 4680415007781.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1877005140863) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 825782032 + ... + 825784304.

It is an arithmetic number, because the mean of its divisors is an integer number (8395357860).

Almost surely, 2^{1877005140864} is an apocalyptic number.

1877005140864 is a gapful number since it is divisible by the number (14) 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 1877005140864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3223817418240).

1877005140864 is an abundant number, since it is smaller than the sum of its proper divisors (4570629695616).

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

1877005140864 is a wasteful number, since it uses less digits than its factorization.

1877005140864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2395 (or 2364 counting only the distinct ones).

The product of its (nonzero) digits is 1505280, while the sum is 51.

The spelling of 1877005140864 in words is "one trillion, eight hundred seventy-seven billion, five million, one hundred forty thousand, eight hundred sixty-four".