61787153727936 has 672 divisors, whose sum is σ = 226036618149888. Its totient is φ = 15701110087680.

The previous prime is 61787153727917. The next prime is 61787153727989. The reversal of 61787153727936 is 63972735178716.

61787153727936 is a `hidden beast` number, since 6 + 1 + 7 + 87 + 1 + 537 + 2 + 7 + 9 + 3 + 6 = 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 (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 199602721 + ... + 199912031.

It is an arithmetic number, because the mean of its divisors is an integer number (336364015104).

Almost surely, 2^{61787153727936} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61787153727936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113018309074944).

61787153727936 is an abundant number, since it is smaller than the sum of its proper divisors (164249464421952).

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

61787153727936 is a wasteful number, since it uses less digits than its factorization.

61787153727936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309489 (or 309476 counting only the distinct ones).

The product of its digits is 560105280, while the sum is 72.

The spelling of 61787153727936 in words is "sixty-one trillion, seven hundred eighty-seven billion, one hundred fifty-three million, seven hundred twenty-seven thousand, nine hundred thirty-six".