61538758320 has 480 divisors, whose sum is σ = 220258402560. Its totient is φ = 14125547520.

The previous prime is 61538758289. The next prime is 61538758343. The reversal of 61538758320 is 2385783516.

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

It is a self number, because there is not a number n which added to its sum of digits gives 61538758320.

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 95 ways as a sum of consecutive naturals, for example, 125333275 + ... + 125333765.

It is an arithmetic number, because the mean of its divisors is an integer number (458871672).

Almost surely, 2^61538758320 is an apocalyptic number.

61538758320 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 61538758320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110129201280).

61538758320 is an abundant number, since it is smaller than the sum of its proper divisors (158719644240).

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

61538758320 is a wasteful number, since it uses less digits than its factorization.

61538758320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 48.

The spelling of 61538758320 in words is "sixty-one billion, five hundred thirty-eight million, seven hundred fifty-eight thousand, three hundred twenty".