61807492120320 has 432 divisors, whose sum is σ = 215698166847072. Its totient is φ = 16339836764160.

The previous prime is 61807492120289. The next prime is 61807492120391. The reversal of 61807492120320 is 2302129470816.

61807492120320 is a `hidden beast` number, since 6 + 1 + 8 + 0 + 7 + 492 + 120 + 32 + 0 = 666.

61807492120320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 801188950 + ... + 801266090.

It is an arithmetic number, because the mean of its divisors is an integer number (499301312146).

Almost surely, 2^{61807492120320} is an apocalyptic number.

61807492120320 is a gapful number since it is divisible by the number (60) 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 61807492120320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107849083423536).

61807492120320 is an abundant number, since it is smaller than the sum of its proper divisors (153890674726752).

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

61807492120320 is a wasteful number, since it uses less digits than its factorization.

61807492120320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77768 (or 77751 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 61807492120320 in words is "sixty-one trillion, eight hundred seven billion, four hundred ninety-two million, one hundred twenty thousand, three hundred twenty".