73644541040 has 160 divisors (see below), whose sum is σ = 199397237760. Its totient is φ = 24772165632.

The previous prime is 73644541031. The next prime is 73644541049. The reversal of 73644541040 is 4014544637.

It is an interprime number because it is at equal distance from previous prime (73644541031) and next prime (73644541049).

It is a junction number, because it is equal to n+sod(n) for n = 73644540985 and 73644541003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73644541049) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19062149 + ... + 19066011.

It is an arithmetic number, because the mean of its divisors is an integer number (1246232736).

Almost surely, 2^73644541040 is an apocalyptic number.

73644541040 is a gapful number since it is divisible by the number (70) 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 73644541040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99698618880).

73644541040 is an abundant number, since it is smaller than the sum of its proper divisors (125752696720).

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

73644541040 is a wasteful number, since it uses less digits than its factorization.

73644541040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4519 (or 4513 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 38.

The spelling of 73644541040 in words is "seventy-three billion, six hundred forty-four million, five hundred forty-one thousand, forty".