2829645564480 has 672 divisors, whose sum is σ = 11873658101760. Its totient is φ = 604099399680.

The previous prime is 2829645564469. The next prime is 2829645564481. The reversal of 2829645564480 is 844655469282.

2829645564480 is a `hidden beast` number, since 2 + 8 + 2 + 9 + 64 + 5 + 564 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is not an unprimeable number, because it can be changed into a prime (2829645564481) 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, 27143817 + ... + 27247863.

It is an arithmetic number, because the mean of its divisors is an integer number (17669134080).

Almost surely, 2^{2829645564480} is an apocalyptic number.

2829645564480 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 2829645564480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5936829050880).

2829645564480 is an abundant number, since it is smaller than the sum of its proper divisors (9044012537280).

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

2829645564480 is a wasteful number, since it uses less digits than its factorization.

2829645564480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104167 (or 104154 counting only the distinct ones).

The product of its (nonzero) digits is 132710400, while the sum is 63.

The spelling of 2829645564480 in words is "two trillion, eight hundred twenty-nine billion, six hundred forty-five million, five hundred sixty-four thousand, four hundred eighty".