61691237440000 has 800 divisors, whose sum is σ = 190358239864320. Its totient is φ = 19482968064000.

The previous prime is 61691237439991. The next prime is 61691237440043. The reversal of 61691237440000 is 4473219616.

It is a tau number, because it is divible by the number of its divisors (800).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1789742766 + ... + 1789777234.

Almost surely, 2^{61691237440000} 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 61691237440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95179119932160).

61691237440000 is an abundant number, since it is smaller than the sum of its proper divisors (128667002424320).

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

61691237440000 is an equidigital number, since it uses as much as digits as its factorization.

61691237440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34578 (or 34547 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 43.

The spelling of 61691237440000 in words is "sixty-one trillion, six hundred ninety-one billion, two hundred thirty-seven million, four hundred forty thousand".