73734101007440 has 20 divisors (see below), whose sum is σ = 171431784842484. Its totient is φ = 29493640402944.

The previous prime is 73734101007421. The next prime is 73734101007461. The reversal of 73734101007440 is 4470010143737.

It can be written as a sum of positive squares in 2 ways, for example, as 17017176035344 + 56716924972096 = 4125188^2 + 7531064^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 460838131217 + ... + 460838131376.

Almost surely, 2^{73734101007440} is an apocalyptic number.

It is an amenable number.

73734101007440 is an abundant number, since it is smaller than the sum of its proper divisors (97697683835044).

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

73734101007440 is a wasteful number, since it uses less digits than its factorization.

73734101007440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 921676262606 (or 921676262600 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 41.

The spelling of 73734101007440 in words is "seventy-three trillion, seven hundred thirty-four billion, one hundred one million, seven thousand, four hundred forty".