7391472480 has 384 divisors, whose sum is σ = 30058076160. Its totient is φ = 1661368320.

The previous prime is 7391472467. The next prime is 7391472481. The reversal of 7391472480 is 842741937.

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 (7391472481) 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, 1842637 + ... + 1846643.

It is an arithmetic number, because the mean of its divisors is an integer number (78276240).

Almost surely, 2^7391472480 is an apocalyptic number.

7391472480 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7391472480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15029038080).

7391472480 is an abundant number, since it is smaller than the sum of its proper divisors (22666603680).

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

7391472480 is a wasteful number, since it uses less digits than its factorization.

7391472480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4099 (or 4085 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 7391472480 is about 85973.6731796426. The cubic root of 7391472480 is about 1947.9463349596.

The spelling of 7391472480 in words is "seven billion, three hundred ninety-one million, four hundred seventy-two thousand, four hundred eighty".