61502036617728 has 1280 divisors, whose sum is σ = 219242409492480. Its totient is φ = 16862807162880.

The previous prime is 61502036617709. The next prime is 61502036617729. The reversal of 61502036617728 is 82771663020516.

61502036617728 is a `hidden beast` number, since 6 + 1 + 502 + 0 + 3 + 6 + 61 + 7 + 72 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (61502036617729) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 30859023900 + ... + 30859025892.

It is an arithmetic number, because the mean of its divisors is an integer number (171283132416).

Almost surely, 2^{61502036617728} 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 61502036617728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109621204746240).

61502036617728 is an abundant number, since it is smaller than the sum of its proper divisors (157740372874752).

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

61502036617728 is an equidigital number, since it uses as much as digits as its factorization.

61502036617728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2197 (or 2163 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 61502036617728 in words is "sixty-one trillion, five hundred two billion, thirty-six million, six hundred seventeen thousand, seven hundred twenty-eight".