7421885640 has 576 divisors, whose sum is σ = 28757514240. Its totient is φ = 1646853120.

The previous prime is 7421885623. The next prime is 7421885651. The reversal of 7421885640 is 465881247.

7421885640 = T₈₇₂₀ + T₈₇₂₁ + ... + T₈₉₁₀.

7421885640 is a `hidden beast` number, since 7 + 4 + 2 + 1 + 88 + 564 + 0 = 666.

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 (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 38857945 + ... + 38858135.

It is an arithmetic number, because the mean of its divisors is an integer number (49926240).

Almost surely, 2^7421885640 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 7421885640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14378757120).

7421885640 is an abundant number, since it is smaller than the sum of its proper divisors (21335628600).

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

7421885640 is a wasteful number, since it uses less digits than its factorization.

7421885640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 7421885640 is about 86150.3664530802. The cubic root of 7421885640 is about 1950.6143705176.

The spelling of 7421885640 in words is "seven billion, four hundred twenty-one million, eight hundred eighty-five thousand, six hundred forty".