7054406640 has 480 divisors, whose sum is σ = 26323315200. Its totient is φ = 1750533120.

The previous prime is 7054406609. The next prime is 7054406651. The reversal of 7054406640 is 466044507.

7054406640 is a `hidden beast` number, since 7 + 0 + 5 + 4 + 4 + 0 + 6 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 7054406595 and 7054406604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26224426 + ... + 26224694.

It is an arithmetic number, because the mean of its divisors is an integer number (54840240).

Almost surely, 2^7054406640 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 7054406640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13161657600).

7054406640 is an abundant number, since it is smaller than the sum of its proper divisors (19268908560).

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

7054406640 is a wasteful number, since it uses less digits than its factorization.

7054406640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 7054406640 is about 83990.5151787986. The cubic root of 7054406640 is about 1917.8744054767.

The spelling of 7054406640 in words is "seven billion, fifty-four million, four hundred six thousand, six hundred forty".