61321037743000 has 256 divisors, whose sum is σ = 165700452003840. Its totient is φ = 20805356160000.

The previous prime is 61321037742983. The next prime is 61321037743037. The reversal of 61321037743000 is 34773012316.

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, 1033163325 + ... + 1033222675.

It is an arithmetic number, because the mean of its divisors is an integer number (647267390640).

Almost surely, 2^{61321037743000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61321037743000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82850226001920).

61321037743000 is an abundant number, since it is smaller than the sum of its proper divisors (104379414260840).

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

61321037743000 is a wasteful number, since it uses less digits than its factorization.

61321037743000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60915 (or 60901 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 37.

The spelling of 61321037743000 in words is "sixty-one trillion, three hundred twenty-one billion, thirty-seven million, seven hundred forty-three thousand".