61273374720 has 256 divisors, whose sum is σ = 207633754080. Its totient is φ = 15376318464.

The previous prime is 61273374713. The next prime is 61273374731. The reversal of 61273374720 is 2747337216.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (256).

It is a super-3 number, since 3×61273374720³ (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8352174 + ... + 8359506.

Almost surely, 2^61273374720 is an apocalyptic number.

61273374720 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 61273374720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103816877040).

61273374720 is an abundant number, since it is smaller than the sum of its proper divisors (146360379360).

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

61273374720 is an equidigital number, since it uses as much as digits as its factorization.

61273374720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7388 (or 7360 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 42.

The spelling of 61273374720 in words is "sixty-one billion, two hundred seventy-three million, three hundred seventy-four thousand, seven hundred twenty".