7604962560 has 288 divisors, whose sum is σ = 29064698880. Its totient is φ = 1871880192.

The previous prime is 7604962487. The next prime is 7604962567. The reversal of 7604962560 is 652694067.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7604962567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 440817 + ... + 457743.

Almost surely, 2^7604962560 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 7604962560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14532349440).

7604962560 is an abundant number, since it is smaller than the sum of its proper divisors (21459736320).

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

7604962560 is a wasteful number, since it uses less digits than its factorization.

7604962560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16970 (or 16950 counting only the distinct ones).

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

The square root of 7604962560 is about 87206.4364597018. The cubic root of 7604962560 is about 1966.5229845555.

The spelling of 7604962560 in words is "seven billion, six hundred four million, nine hundred sixty-two thousand, five hundred sixty".