7478412480 has 672 divisors, whose sum is σ = 33284160000. Its totient is φ = 1552711680.

The previous prime is 7478412457. The next prime is 7478412481. The reversal of 7478412480 is 842148747.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is not an unprimeable number, because it can be changed into a prime (7478412481) 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, 5986896 + ... + 5988144.

It is an arithmetic number, because the mean of its divisors is an integer number (49530000).

Almost surely, 2^7478412480 is an apocalyptic number.

7478412480 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 7478412480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16642080000).

7478412480 is an abundant number, since it is smaller than the sum of its proper divisors (25805747520).

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

7478412480 is a wasteful number, since it uses less digits than its factorization.

7478412480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1299 (or 1277 counting only the distinct ones).

The product of its (nonzero) digits is 401408, while the sum is 45.

The square root of 7478412480 is about 86477.8149585199. The cubic root of 7478412480 is about 1955.5539650660.

The spelling of 7478412480 in words is "seven billion, four hundred seventy-eight million, four hundred twelve thousand, four hundred eighty".