2729162600640 has 560 divisors, whose sum is σ = 11121774048000. Its totient is φ = 622302455808.

The previous prime is 2729162600617. The next prime is 2729162600741. The reversal of 2729162600640 is 460062619272.

2729162600640 is a `hidden beast` number, since 2 + 7 + 29 + 16 + 2 + 600 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 76005411 + ... + 76041309.

It is an arithmetic number, because the mean of its divisors is an integer number (19860310800).

Almost surely, 2^{2729162600640} is an apocalyptic number.

2729162600640 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 2729162600640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5560887024000).

2729162600640 is an abundant number, since it is smaller than the sum of its proper divisors (8392611447360).

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

2729162600640 is a wasteful number, since it uses less digits than its factorization.

2729162600640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36354 (or 36335 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 2729162600640 in words is "two trillion, seven hundred twenty-nine billion, one hundred sixty-two million, six hundred thousand, six hundred forty".