2673788879520 has 384 divisors, whose sum is σ = 10323736416000. Its totient is φ = 640907182080.

The previous prime is 2673788879429. The next prime is 2673788879569. The reversal of 2673788879520 is 259788873762.

2673788879520 is a `hidden beast` number, since 2 + 67 + 37 + 8 + 8 + 8 + 7 + 9 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3913176 + ... + 4545384.

It is an arithmetic number, because the mean of its divisors is an integer number (26884730250).

Almost surely, 2^{2673788879520} is an apocalyptic number.

2673788879520 is a gapful number since it is divisible by the number (20) 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 2673788879520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5161868208000).

2673788879520 is an abundant number, since it is smaller than the sum of its proper divisors (7649947536480).

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

2673788879520 is a wasteful number, since it uses less digits than its factorization.

2673788879520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632333 (or 632319 counting only the distinct ones).

The product of its (nonzero) digits is 568995840, while the sum is 72.

The spelling of 2673788879520 in words is "two trillion, six hundred seventy-three billion, seven hundred eighty-eight million, eight hundred seventy-nine thousand, five hundred twenty".