61649744640000 has 2880 divisors, whose sum is σ = 244491517670400. Its totient is φ = 13679001600000.

The previous prime is 61649744639981. The next prime is 61649744640017. The reversal of 61649744640000 is 4644794616.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 692693759956 + ... + 692693760044.

It is an arithmetic number, because the mean of its divisors is an integer number (84892888080).

Almost surely, 2^{61649744640000} is an apocalyptic number.

61649744640000 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 61649744640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122245758835200).

61649744640000 is an abundant number, since it is smaller than the sum of its proper divisors (182841773030400).

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

61649744640000 is a wasteful number, since it uses less digits than its factorization.

61649744640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 51.

The spelling of 61649744640000 in words is "sixty-one trillion, six hundred forty-nine billion, seven hundred forty-four million, six hundred forty thousand".