7409435904 has 216 divisors, whose sum is σ = 23729858880. Its totient is φ = 2279467008.

The previous prime is 7409435903. The next prime is 7409435923. The reversal of 7409435904 is 4095349047.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (216).

It is a self number, because there is not a number n which added to its sum of digits gives 7409435904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7409435903) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1164957 + ... + 1171299.

Almost surely, 2^7409435904 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 7409435904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11864929440).

7409435904 is an abundant number, since it is smaller than the sum of its proper divisors (16320422976).

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

7409435904 is a wasteful number, since it uses less digits than its factorization.

7409435904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6394 (or 6361 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 7409435904 is about 86078.0802759913. The cubic root of 7409435904 is about 1949.5230833688.

The spelling of 7409435904 in words is "seven billion, four hundred nine million, four hundred thirty-five thousand, nine hundred four".