61720615077000 has 512 divisors, whose sum is σ = 210999090032640. Its totient is φ = 14896815360000.

The previous prime is 61720615076987. The next prime is 61720615077019. The reversal of 61720615077000 is 77051602716.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15977377069 + ... + 15977380931.

It is an arithmetic number, because the mean of its divisors is an integer number (412107597720).

Almost surely, 2^{61720615077000} is an apocalyptic number.

61720615077000 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 61720615077000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105499545016320).

61720615077000 is an abundant number, since it is smaller than the sum of its proper divisors (149278474955640).

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

61720615077000 is a wasteful number, since it uses less digits than its factorization.

61720615077000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5902 (or 5888 counting only the distinct ones).

The product of its (nonzero) digits is 123480, while the sum is 42.

Adding to 61720615077000 its reverse (77051602716), we get a palindrome (61797666679716).

The spelling of 61720615077000 in words is "sixty-one trillion, seven hundred twenty billion, six hundred fifteen million, seventy-seven thousand".