7241620464 has 120 divisors (see below), whose sum is σ = 22415530592. Its totient is φ = 2167948800.

The previous prime is 7241620409. The next prime is 7241620483. The reversal of 7241620464 is 4640261427.

7241620464 is a `hidden beast` number, since 7 + 24 + 1 + 620 + 4 + 6 + 4 = 666.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16989 + ... + 121539.

Almost surely, 2^7241620464 is an apocalyptic number.

7241620464 is a gapful number since it is divisible by the number (74) 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 7241620464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11207765296).

7241620464 is an abundant number, since it is smaller than the sum of its proper divisors (15173910128).

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

7241620464 is a wasteful number, since it uses less digits than its factorization.

7241620464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104615 (or 104606 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 7241620464 is about 85097.7112735707. The cubic root of 7241620464 is about 1934.6923742280.

The spelling of 7241620464 in words is "seven billion, two hundred forty-one million, six hundred twenty thousand, four hundred sixty-four".