7940148480 has 216 divisors, whose sum is σ = 29970027360. Its totient is φ = 1924853760.

The previous prime is 7940148457. The next prime is 7940148487. The reversal of 7940148480 is 848410497.

7940148480 is a `hidden beast` number, since 7 + 94 + 0 + 1 + 484 + 80 = 666.

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 (7940148487) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95391 + ... + 158049.

Almost surely, 2^7940148480 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 7940148480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14985013680).

7940148480 is an abundant number, since it is smaller than the sum of its proper divisors (22029878880).

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

7940148480 is a wasteful number, since it uses less digits than its factorization.

7940148480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62697 (or 62680 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 7940148480 is about 89107.5107945453. The cubic root of 7940148480 is about 1994.9998831666. Note that the first 3 decimals are identical.

The spelling of 7940148480 in words is "seven billion, nine hundred forty million, one hundred forty-eight thousand, four hundred eighty".