61754082720 has 576 divisors, whose sum is σ = 227608496640. Its totient is φ = 14023342080.

The previous prime is 61754082713. The next prime is 61754082727. The reversal of 61754082720 is 2728045716.

It is an interprime number because it is at equal distance from previous prime (61754082713) and next prime (61754082727).

It is not an unprimeable number, because it can be changed into a prime (61754082727) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 118076379 + ... + 118076901.

It is an arithmetic number, because the mean of its divisors is an integer number (395153640).

Almost surely, 2^61754082720 is an apocalyptic number.

61754082720 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 61754082720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113804248320).

61754082720 is an abundant number, since it is smaller than the sum of its proper divisors (165854413920).

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

61754082720 is a wasteful number, since it uses less digits than its factorization.

61754082720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 689 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 42.

The spelling of 61754082720 in words is "sixty-one billion, seven hundred fifty-four million, eighty-two thousand, seven hundred twenty".