61623484416 has 720 divisors, whose sum is σ = 212971868928. Its totient is φ = 16986931200.

The previous prime is 61623484381. The next prime is 61623484463. The reversal of 61623484416 is 61448432616.

61623484416 is a `hidden beast` number, since 6 + 1 + 623 + 4 + 8 + 4 + 4 + 16 = 666.

It is a super-2 number, since 2×61623484416² (a number of 22 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1010221026 + ... + 1010221086.

Almost surely, 2^61623484416 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 61623484416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106485934464).

61623484416 is an abundant number, since it is smaller than the sum of its proper divisors (151348384512).

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

61623484416 is a wasteful number, since it uses less digits than its factorization.

61623484416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 127 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The spelling of 61623484416 in words is "sixty-one billion, six hundred twenty-three million, four hundred eighty-four thousand, four hundred sixteen".