61467276416 has 128 divisors (see below), whose sum is σ = 151053154560. Its totient is φ = 24261857280.

The previous prime is 61467276413. The next prime is 61467276419.

It is a happy number.

61467276416 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (61467276413) and next prime (61467276419).

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (61467276413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5364005 + ... + 5375451.

It is an arithmetic number, because the mean of its divisors is an integer number (1180102770).

Almost surely, 2^61467276416 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 61467276416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75526577280).

61467276416 is an abundant number, since it is smaller than the sum of its proper divisors (89585878144).

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

61467276416 is a wasteful number, since it uses less digits than its factorization.

61467276416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11942 (or 11930 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 50.

The spelling of 61467276416 in words is "sixty-one billion, four hundred sixty-seven million, two hundred seventy-six thousand, four hundred sixteen".