61027447680 has 512 divisors, whose sum is σ = 222816960000. Its totient is φ = 15976507392.

The previous prime is 61027447661. The next prime is 61027447687. The reversal of 61027447680 is 8674472016.

61027447680 is a `hidden beast` number, since 6 + 102 + 74 + 476 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61027447687) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 82580751 + ... + 82581489.

It is an arithmetic number, because the mean of its divisors is an integer number (435189375).

Almost surely, 2^61027447680 is an apocalyptic number.

61027447680 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 61027447680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111408480000).

61027447680 is an abundant number, since it is smaller than the sum of its proper divisors (161789512320).

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

61027447680 is an frugal number, since it uses more digits than its factorization.

61027447680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 838 (or 808 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 61027447680 in words is "sixty-one billion, twenty-seven million, four hundred forty-seven thousand, six hundred eighty".