61837975920 has 160 divisors (see below), whose sum is σ = 221093706240. Its totient is φ = 14004679680.

The previous prime is 61837975889. The next prime is 61837975921. The reversal of 61837975920 is 2957973816.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61837975921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14275 + ... + 351965.

It is an arithmetic number, because the mean of its divisors is an integer number (1381835664).

Almost surely, 2^61837975920 is an apocalyptic number.

61837975920 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 61837975920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110546853120).

61837975920 is an abundant number, since it is smaller than the sum of its proper divisors (159255730320).

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

61837975920 is a wasteful number, since it uses less digits than its factorization.

61837975920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337823 (or 337817 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 57.

The spelling of 61837975920 in words is "sixty-one billion, eight hundred thirty-seven million, nine hundred seventy-five thousand, nine hundred twenty".