5973415040 has 128 divisors (see below), whose sum is σ = 14528488320. Its totient is φ = 2348236800.

The previous prime is 5973415037. The next prime is 5973415067. The reversal of 5973415040 is 405143795.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 5973414985 and 5973415003.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10920047 + ... + 10920593.

It is an arithmetic number, because the mean of its divisors is an integer number (113503815).

Almost surely, 2^5973415040 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 5973415040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7264244160).

5973415040 is an abundant number, since it is smaller than the sum of its proper divisors (8555073280).

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

5973415040 is a wasteful number, since it uses less digits than its factorization.

5973415040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 830 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 38.

The square root of 5973415040 is about 77287.8712347546. The cubic root of 5973415040 is about 1814.4328371285.

The spelling of 5973415040 in words is "five billion, nine hundred seventy-three million, four hundred fifteen thousand, forty".