7484855040 has 864 divisors, whose sum is σ = 30373709184. Its totient is φ = 1686896640.

The previous prime is 7484855039. The next prime is 7484855069. The reversal of 7484855040 is 405584847.

7484855040 is a `hidden beast` number, since 7 + 484 + 85 + 50 + 40 = 666.

It is a super-3 number, since 3×7484855040³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 141223654 + ... + 141223706.

It is an arithmetic number, because the mean of its divisors is an integer number (35154756).

Almost surely, 2^7484855040 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 7484855040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15186854592).

7484855040 is an abundant number, since it is smaller than the sum of its proper divisors (22888854144).

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

7484855040 is a wasteful number, since it uses less digits than its factorization.

7484855040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 716800, while the sum is 45.

The square root of 7484855040 is about 86515.0567242489. The cubic root of 7484855040 is about 1956.1153657475.

The spelling of 7484855040 in words is "seven billion, four hundred eighty-four million, eight hundred fifty-five thousand, forty".