61599654240 has 192 divisors, whose sum is σ = 202017364416. Its totient is φ = 15763341312.

The previous prime is 61599654239. The next prime is 61599654269. The reversal of 61599654240 is 4245699516.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1272724 + ... + 1320236.

It is an arithmetic number, because the mean of its divisors is an integer number (1052173773).

Almost surely, 2^61599654240 is an apocalyptic number.

61599654240 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 61599654240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101008682208).

61599654240 is an abundant number, since it is smaller than the sum of its proper divisors (140417710176).

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

61599654240 is a wasteful number, since it uses less digits than its factorization.

61599654240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47641 (or 47633 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 51.

The spelling of 61599654240 in words is "sixty-one billion, five hundred ninety-nine million, six hundred fifty-four thousand, two hundred forty".