7564740480 has 768 divisors, whose sum is σ = 30932928000. Its totient is φ = 1684193280.

The previous prime is 7564740473. The next prime is 7564740487. The reversal of 7564740480 is 840474657.

7564740480 is a `hidden beast` number, since 7 + 564 + 7 + 4 + 0 + 4 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (7564740473) and next prime (7564740487).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 (7564740487) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42261031 + ... + 42261209.

It is an arithmetic number, because the mean of its divisors is an integer number (40277250).

Almost surely, 2^7564740480 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 7564740480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15466464000).

7564740480 is an abundant number, since it is smaller than the sum of its proper divisors (23368187520).

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

7564740480 is a wasteful number, since it uses less digits than its factorization.

7564740480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The square root of 7564740480 is about 86975.5165549478. The cubic root of 7564740480 is about 1963.0499232682.

The spelling of 7564740480 in words is "seven billion, five hundred sixty-four million, seven hundred forty thousand, four hundred eighty".