7613676480 has 224 divisors, whose sum is σ = 25184770560. Its totient is φ = 1946972160.

The previous prime is 7613676479. The next prime is 7613676527. The reversal of 7613676480 is 846763167.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2520411 + ... + 2523429.

Almost surely, 2^7613676480 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 7613676480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12592385280).

7613676480 is an abundant number, since it is smaller than the sum of its proper divisors (17571094080).

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

7613676480 is a wasteful number, since it uses less digits than its factorization.

7613676480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3147 (or 3137 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 48.

The square root of 7613676480 is about 87256.3836060148. The cubic root of 7613676480 is about 1967.2737918090.

The spelling of 7613676480 in words is "seven billion, six hundred thirteen million, six hundred seventy-six thousand, four hundred eighty".