73948033744 has 80 divisors (see below), whose sum is σ = 162533486080. Its totient is φ = 32310213120.

The previous prime is 73948033741. The next prime is 73948033781. The reversal of 73948033744 is 44733084937.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 73948033691 and 73948033700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73948033741) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6186814 + ... + 6198754.

It is an arithmetic number, because the mean of its divisors is an integer number (2031668576).

Almost surely, 2^73948033744 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 73948033744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81266743040).

73948033744 is an abundant number, since it is smaller than the sum of its proper divisors (88585452336).

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

73948033744 is a wasteful number, since it uses less digits than its factorization.

73948033744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13548 (or 13542 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 52.

The spelling of 73948033744 in words is "seventy-three billion, nine hundred forty-eight million, thirty-three thousand, seven hundred forty-four".