61530416640 has 960 divisors, whose sum is σ = 274817410560. Its totient is φ = 12773376000.

The previous prime is 61530416627. The next prime is 61530416659. The reversal of 61530416640 is 4661403516.

It is a happy number.

61530416640 is a `hidden beast` number, since 6 + 1 + 5 + 3 + 0 + 4 + 1 + 6 + 640 = 666.

61530416640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 61530416595 and 61530416604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 58544115 + ... + 58545165.

It is an arithmetic number, because the mean of its divisors is an integer number (286268136).

Almost surely, 2^61530416640 is an apocalyptic number.

61530416640 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 61530416640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137408705280).

61530416640 is an abundant number, since it is smaller than the sum of its proper divisors (213286993920).

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

61530416640 is a wasteful number, since it uses less digits than its factorization.

61530416640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1112 (or 1079 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 61530416640 in words is "sixty-one billion, five hundred thirty million, four hundred sixteen thousand, six hundred forty".