61593937920 has 192 divisors, whose sum is σ = 218948184000. Its totient is φ = 16424976384.

The previous prime is 61593937903. The next prime is 61593937921. The reversal of 61593937920 is 2973939516.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

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 (61593937921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 165091 + ... + 387869.

It is an arithmetic number, because the mean of its divisors is an integer number (1140355125).

Almost surely, 2^61593937920 is an apocalyptic number.

61593937920 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 61593937920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109474092000).

61593937920 is an abundant number, since it is smaller than the sum of its proper divisors (157354246080).

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

61593937920 is a wasteful number, since it uses less digits than its factorization.

61593937920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222815 (or 222789 counting only the distinct ones).

The product of its (nonzero) digits is 2755620, while the sum is 54.

The spelling of 61593937920 in words is "sixty-one billion, five hundred ninety-three million, nine hundred thirty-seven thousand, nine hundred twenty".