7471287840 has 384 divisors, whose sum is σ = 25866086400. Its totient is φ = 1805303808.

The previous prime is 7471287839. The next prime is 7471287841. The reversal of 7471287840 is 487821747.

It is an interprime number because it is at equal distance from previous prime (7471287839) and next prime (7471287841).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 7471287840.

It is not an unprimeable number, because it can be changed into a prime (7471287841) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37544061 + ... + 37544259.

It is an arithmetic number, because the mean of its divisors is an integer number (67359600).

Almost surely, 2^7471287840 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 7471287840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12933043200).

7471287840 is an abundant number, since it is smaller than the sum of its proper divisors (18394798560).

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

7471287840 is a wasteful number, since it uses less digits than its factorization.

7471287840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 702464, while the sum is 48.

The square root of 7471287840 is about 86436.6116874094. The cubic root of 7471287840 is about 1954.9327527927.

The spelling of 7471287840 in words is "seven billion, four hundred seventy-one million, two hundred eighty-seven thousand, eight hundred forty".