61224171680 has 288 divisors, whose sum is σ = 175067827200. Its totient is φ = 19799654400.

The previous prime is 61224171653. The next prime is 61224171683. The reversal of 61224171680 is 8617142216.

It is a super-2 number, since 2×61224171680² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (61224171683) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58363796 + ... + 58364844.

It is an arithmetic number, because the mean of its divisors is an integer number (607874400).

Almost surely, 2^61224171680 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 61224171680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87533913600).

61224171680 is an abundant number, since it is smaller than the sum of its proper divisors (113843655520).

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

61224171680 is a wasteful number, since it uses less digits than its factorization.

61224171680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1184 (or 1135 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 38.

The spelling of 61224171680 in words is "sixty-one billion, two hundred twenty-four million, one hundred seventy-one thousand, six hundred eighty".