7436713680 has 480 divisors, whose sum is σ = 28663165440. Its totient is φ = 1776867840.

The previous prime is 7436713673. The next prime is 7436713693. The reversal of 7436713680 is 863176347.

7436713680 is a `hidden beast` number, since 7 + 436 + 7 + 136 + 80 = 666.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17748511 + ... + 17748929.

It is an arithmetic number, because the mean of its divisors is an integer number (59714928).

Almost surely, 2^7436713680 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 7436713680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14331582720).

7436713680 is an abundant number, since it is smaller than the sum of its proper divisors (21226451760).

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

7436713680 is a wasteful number, since it uses less digits than its factorization.

7436713680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 7436713680 is about 86236.3825771930. The cubic root of 7436713680 is about 1951.9125377926.

The spelling of 7436713680 in words is "seven billion, four hundred thirty-six million, seven hundred thirteen thousand, six hundred eighty".