7227955607040 has 1920 divisors, whose sum is σ = 31457986560000. Its totient is φ = 1553738858496.

The previous prime is 7227955607003. The next prime is 7227955607053. The reversal of 7227955607040 is 407065597227.

It is a happy number.

7227955607040 is a `hidden beast` number, since 7 + 2 + 2 + 7 + 9 + 5 + 560 + 70 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 16464591141 + ... + 16464591579.

It is an arithmetic number, because the mean of its divisors is an integer number (16384368000).

Almost surely, 2^{7227955607040} is an apocalyptic number.

7227955607040 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 7227955607040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15728993280000).

7227955607040 is an abundant number, since it is smaller than the sum of its proper divisors (24230030952960).

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

7227955607040 is a wasteful number, since it uses less digits than its factorization.

7227955607040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702 (or 674 counting only the distinct ones).

The product of its (nonzero) digits is 7408800, while the sum is 54.

The spelling of 7227955607040 in words is "seven trillion, two hundred twenty-seven billion, nine hundred fifty-five million, six hundred seven thousand, forty".