5364762480 has 720 divisors, whose sum is σ = 23875138560. Its totient is φ = 1053803520.

The previous prime is 5364762479. The next prime is 5364762503. The reversal of 5364762480 is 842674635.

5364762480 is a `hidden beast` number, since 53 + 64 + 7 + 62 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11586729 + ... + 11587191.

Almost surely, 2^5364762480 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 5364762480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11937569280).

5364762480 is an abundant number, since it is smaller than the sum of its proper divisors (18510376080).

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

5364762480 is a wasteful number, since it uses less digits than its factorization.

5364762480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The square root of 5364762480 is about 73244.5389090545. The cubic root of 5364762480 is about 1750.5861960015.

The spelling of 5364762480 in words is "five billion, three hundred sixty-four million, seven hundred sixty-two thousand, four hundred eighty".