7603476480 has 480 divisors, whose sum is σ = 27826999200. Its totient is φ = 1985347584.

The previous prime is 7603476479. The next prime is 7603476509. The reversal of 7603476480 is 846743067.

7603476480 is a `hidden beast` number, since 76 + 0 + 34 + 76 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 73820109 + ... + 73820211.

It is an arithmetic number, because the mean of its divisors is an integer number (57972915).

Almost surely, 2^7603476480 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 7603476480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13913499600).

7603476480 is an abundant number, since it is smaller than the sum of its proper divisors (20223522720).

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

7603476480 is a wasteful number, since it uses less digits than its factorization.

7603476480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The square root of 7603476480 is about 87197.9155714172. The cubic root of 7603476480 is about 1966.3948839532.

The spelling of 7603476480 in words is "seven billion, six hundred three million, four hundred seventy-six thousand, four hundred eighty".