7894212480 has 1024 divisors, whose sum is σ = 37013760000. Its totient is φ = 1539440640.

The previous prime is 7894212457. The next prime is 7894212499. The reversal of 7894212480 is 842124987.

7894212480 is a `hidden beast` number, since 78 + 94 + 2 + 12 + 480 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 22619346 + ... + 22619694.

It is an arithmetic number, because the mean of its divisors is an integer number (36146250).

Almost surely, 2^7894212480 is an apocalyptic number.

7894212480 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 7894212480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18506880000).

7894212480 is an abundant number, since it is smaller than the sum of its proper divisors (29119547520).

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

7894212480 is a wasteful number, since it uses less digits than its factorization.

7894212480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 394 counting only the distinct ones).

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

The square root of 7894212480 is about 88849.3808644720. The cubic root of 7894212480 is about 1991.1452276934.

The spelling of 7894212480 in words is "seven billion, eight hundred ninety-four million, two hundred twelve thousand, four hundred eighty".