61748282880 has 640 divisors, whose sum is σ = 228304137600. Its totient is φ = 16004874240.

The previous prime is 61748282819. The next prime is 61748282903. The reversal of 61748282880 is 8828284716.

61748282880 is a `hidden beast` number, since 6 + 1 + 7 + 482 + 82 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 229547386 + ... + 229547654.

It is an arithmetic number, because the mean of its divisors is an integer number (356725215).

Almost surely, 2^61748282880 is an apocalyptic number.

61748282880 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 61748282880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114152068800).

61748282880 is an abundant number, since it is smaller than the sum of its proper divisors (166555854720).

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

61748282880 is an frugal number, since it uses more digits than its factorization.

61748282880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 2752512, while the sum is 54.

The spelling of 61748282880 in words is "sixty-one billion, seven hundred forty-eight million, two hundred eighty-two thousand, eight hundred eighty".