2653729136640 has 2016 divisors, whose sum is σ = 11037717279360. Its totient is φ = 603545665536.

The previous prime is 2653729136549. The next prime is 2653729136647. The reversal of 2653729136640 is 466319273562.

2653729136640 is a `hidden beast` number, since 2 + 6 + 537 + 2 + 9 + 1 + 3 + 66 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2653729136647) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 115379527669 + ... + 115379527691.

Almost surely, 2^{2653729136640} is an apocalyptic number.

2653729136640 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 2653729136640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5518858639680).

2653729136640 is an abundant number, since it is smaller than the sum of its proper divisors (8383988142720).

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

2653729136640 is a wasteful number, since it uses less digits than its factorization.

2653729136640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 2653729136640 in words is "two trillion, six hundred fifty-three billion, seven hundred twenty-nine million, one hundred thirty-six thousand, six hundred forty".