61203600640 has 288 divisors, whose sum is σ = 181492286976. Its totient is φ = 19256279040.

The previous prime is 61203600613. The next prime is 61203600673. The reversal of 61203600640 is 4600630216.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 61203600599 and 61203600608.

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, 21081429 + ... + 21084331.

It is an arithmetic number, because the mean of its divisors is an integer number (630181552).

Almost surely, 2^61203600640 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 61203600640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90746143488).

61203600640 is an abundant number, since it is smaller than the sum of its proper divisors (120288686336).

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

61203600640 is a wasteful number, since it uses less digits than its factorization.

61203600640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3125 (or 3111 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The spelling of 61203600640 in words is "sixty-one billion, two hundred three million, six hundred thousand, six hundred forty".