7461959904 has 432 divisors, whose sum is σ = 26226135936. Its totient is φ = 2003097600.

The previous prime is 7461959887. The next prime is 7461959909. The reversal of 7461959904 is 4099591647.

It is a happy number.

7461959904 is a `hidden beast` number, since 7 + 46 + 1 + 9 + 599 + 0 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7461959909) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16186234 + ... + 16186694.

It is an arithmetic number, because the mean of its divisors is an integer number (60708648).

Almost surely, 2^7461959904 is an apocalyptic number.

7461959904 is a gapful number since it is divisible by the number (74) 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 7461959904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13113067968).

7461959904 is an abundant number, since it is smaller than the sum of its proper divisors (18764176032).

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

7461959904 is a wasteful number, since it uses less digits than its factorization.

7461959904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The square root of 7461959904 is about 86382.6365886108. The cubic root of 7461959904 is about 1954.1188332342.

The spelling of 7461959904 in words is "seven billion, four hundred sixty-one million, nine hundred fifty-nine thousand, nine hundred four".