7940473920 has 504 divisors, whose sum is σ = 29903440320. Its totient is φ = 1928448000.

The previous prime is 7940473913. The next prime is 7940473943. The reversal of 7940473920 is 293740497.

7940473920 is a `hidden beast` number, since 7 + 94 + 0 + 473 + 92 + 0 = 666.

It is a super-2 number, since 2×7940473920² (a number of 21 digits) contains 22 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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 52585845 + ... + 52585995.

Almost surely, 2^7940473920 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 7940473920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14951720160).

7940473920 is an abundant number, since it is smaller than the sum of its proper divisors (21962966400).

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

7940473920 is a wasteful number, since it uses less digits than its factorization.

7940473920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 7940473920 is about 89109.3368845263. The cubic root of 7940473920 is about 1995.0271389076.

The spelling of 7940473920 in words is "seven billion, nine hundred forty million, four hundred seventy-three thousand, nine hundred twenty".