7421220864 has 192 divisors, whose sum is σ = 22213900800. Its totient is φ = 2447843328.

The previous prime is 7421220857. The next prime is 7421220883. The reversal of 7421220864 is 4680221247.

7421220864 is a `hidden beast` number, since 7 + 421 + 220 + 8 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×7421220864² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5694837 + ... + 5696139.

It is an arithmetic number, because the mean of its divisors is an integer number (115697400).

Almost surely, 2^7421220864 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 7421220864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11106950400).

7421220864 is an abundant number, since it is smaller than the sum of its proper divisors (14792679936).

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

7421220864 is a wasteful number, since it uses less digits than its factorization.

7421220864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1437 (or 1411 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 7421220864 is about 86146.5081358496. The cubic root of 7421220864 is about 1950.5561301368.

The spelling of 7421220864 in words is "seven billion, four hundred twenty-one million, two hundred twenty thousand, eight hundred sixty-four".