61620960324000 has 4608 divisors, whose sum is σ = 284738338160640. Its totient is φ = 11291664384000.

The previous prime is 61620960323963. The next prime is 61620960324029. The reversal of 61620960324000 is 42306902616.

61620960324000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 61620960324000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 485204411937 + ... + 485204412063.

It is an arithmetic number, because the mean of its divisors is an integer number (61792174080).

Almost surely, 2^{61620960324000} is an apocalyptic number.

61620960324000 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 61620960324000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142369169080320).

61620960324000 is an abundant number, since it is smaller than the sum of its proper divisors (223117377836640).

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

61620960324000 is a wasteful number, since it uses less digits than its factorization.

61620960324000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

The spelling of 61620960324000 in words is "sixty-one trillion, six hundred twenty billion, nine hundred sixty million, three hundred twenty-four thousand".