61758100992 has 360 divisors, whose sum is σ = 202081202136. Its totient is φ = 16709124096.

The previous prime is 61758100949. The next prime is 61758100997. The reversal of 61758100992 is 29900185716.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61758100997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 27169168 + ... + 27171440.

Almost surely, 2^61758100992 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 61758100992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101040601068).

61758100992 is an abundant number, since it is smaller than the sum of its proper divisors (140323101144).

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

61758100992 is a wasteful number, since it uses less digits than its factorization.

61758100992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2346 (or 2304 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 48.

The spelling of 61758100992 in words is "sixty-one billion, seven hundred fifty-eight million, one hundred thousand, nine hundred ninety-two".