61617640000 has 140 divisors (see below), whose sum is σ = 174619903744. Its totient is φ = 21125952000.

The previous prime is 61617639997. The next prime is 61617640009. The reversal of 61617640000 is 4671616.

It is a tau number, because it is divible by the number of its divisors (140).

It is a super-3 number, since 3×61617640000³ (a number of 33 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (61617640009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 169969 + ... + 390031.

Almost surely, 2^61617640000 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 61617640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87309951872).

61617640000 is an abundant number, since it is smaller than the sum of its proper divisors (113002263744).

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

61617640000 is an equidigital number, since it uses as much as digits as its factorization.

61617640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220102 (or 220077 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The spelling of 61617640000 in words is "sixty-one billion, six hundred seventeen million, six hundred forty thousand".