61970884416 has 504 divisors, whose sum is σ = 212597024640. Its totient is φ = 16903655424.

The previous prime is 61970884343. The next prime is 61970884429. The reversal of 61970884416 is 61448807916.

61970884416 is a `hidden beast` number, since 6 + 197 + 0 + 8 + 8 + 441 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×61970884416² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 568540170 + ... + 568540278.

Almost surely, 2^61970884416 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 61970884416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106298512320).

61970884416 is an abundant number, since it is smaller than the sum of its proper divisors (150626140224).

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

61970884416 is a wasteful number, since it uses less digits than its factorization.

61970884416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 61970884416 in words is "sixty-one billion, nine hundred seventy million, eight hundred eighty-four thousand, four hundred sixteen".