61646069280 has 192 divisors, whose sum is σ = 200658124800. Its totient is φ = 15892085760.

The previous prime is 61646069279. The next prime is 61646069293. The reversal of 61646069280 is 8296064616.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21410881 + ... + 21413759.

It is an arithmetic number, because the mean of its divisors is an integer number (1045094400).

Almost surely, 2^61646069280 is an apocalyptic number.

61646069280 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 61646069280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100329062400).

61646069280 is an abundant number, since it is smaller than the sum of its proper divisors (139012055520).

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

61646069280 is a wasteful number, since it uses less digits than its factorization.

61646069280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4367 (or 4359 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 48.

The spelling of 61646069280 in words is "sixty-one billion, six hundred forty-six million, sixty-nine thousand, two hundred eighty".