61353648720 has 1920 divisors, whose sum is σ = 291536340480. Its totient is φ = 11705057280.

The previous prime is 61353648649. The next prime is 61353648761. The reversal of 61353648720 is 2784635316.

61353648720 is a `hidden beast` number, since 6 + 1 + 3 + 536 + 48 + 72 + 0 = 666.

It is a super-2 number, since 2×61353648720² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1005797490 + ... + 1005797550.

It is an arithmetic number, because the mean of its divisors is an integer number (151841844).

Almost surely, 2^61353648720 is an apocalyptic number.

61353648720 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 61353648720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145768170240).

61353648720 is an abundant number, since it is smaller than the sum of its proper divisors (230182691760).

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

61353648720 is a wasteful number, since it uses less digits than its factorization.

61353648720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 61353648720 in words is "sixty-one billion, three hundred fifty-three million, six hundred forty-eight thousand, seven hundred twenty".