7061221440 has 672 divisors, whose sum is σ = 31230783360. Its totient is φ = 1488678912.

The previous prime is 7061221423. The next prime is 7061221459. The reversal of 7061221440 is 441221607.

7061221440 is a `hidden beast` number, since 7 + 0 + 612 + 2 + 1 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 5503039 + ... + 5504321.

It is an arithmetic number, because the mean of its divisors is an integer number (46474380).

Almost surely, 2^7061221440 is an apocalyptic number.

7061221440 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 7061221440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15615391680).

7061221440 is an abundant number, since it is smaller than the sum of its proper divisors (24169561920).

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

7061221440 is a wasteful number, since it uses less digits than its factorization.

7061221440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1336 (or 1313 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 7061221440 is about 84031.0742523264. The cubic root of 7061221440 is about 1918.4917843131.

The spelling of 7061221440 in words is "seven billion, sixty-one million, two hundred twenty-one thousand, four hundred forty".