2878327714464 has 144 divisors (see below), whose sum is σ = 8239792684032. Its totient is φ = 953067354624.

The previous prime is 2878327714459. The next prime is 2878327714469. The reversal of 2878327714464 is 4644177238782.

2878327714464 is a `hidden beast` number, since 2 + 8 + 7 + 83 + 27 + 71 + 4 + 464 = 666.

It is an interprime number because it is at equal distance from previous prime (2878327714459) and next prime (2878327714469).

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2878327714469) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29687314 + ... + 29784110.

It is an arithmetic number, because the mean of its divisors is an integer number (57220782528).

Almost surely, 2^{2878327714464} is an apocalyptic number.

2878327714464 is a gapful number since it is divisible by the number (24) 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 2878327714464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4119896342016).

2878327714464 is an abundant number, since it is smaller than the sum of its proper divisors (5361464969568).

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

2878327714464 is a wasteful number, since it uses less digits than its factorization.

2878327714464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97499 (or 97488 counting only the distinct ones).

The product of its digits is 101154816, while the sum is 63.

The spelling of 2878327714464 in words is "two trillion, eight hundred seventy-eight billion, three hundred twenty-seven million, seven hundred fourteen thousand, four hundred sixty-four".