7481535840 has 120 divisors (see below), whose sum is σ = 26403632640. Its totient is φ = 1995072768.

The previous prime is 7481535839. The next prime is 7481535847. The reversal of 7481535840 is 485351847.

7481535840 is a `hidden beast` number, since 74 + 8 + 1 + 535 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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 (7481535847) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 275680 + ... + 301599.

It is an arithmetic number, because the mean of its divisors is an integer number (220030272).

Almost surely, 2^7481535840 is an apocalyptic number.

It is an amenable number.

7481535840 is an abundant number, since it is smaller than the sum of its proper divisors (18922096800).

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

7481535840 is a wasteful number, since it uses less digits than its factorization.

7481535840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 577306 (or 577289 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The square root of 7481535840 is about 86495.8718090060. The cubic root of 7481535840 is about 1955.8261729678.

The spelling of 7481535840 in words is "seven billion, four hundred eighty-one million, five hundred thirty-five thousand, eight hundred forty".