7646481920 has 160 divisors (see below), whose sum is σ = 22858108416. Its totient is φ = 2383257600.

The previous prime is 7646481907. The next prime is 7646481971. The reversal of 7646481920 is 291846467.

It is a tau number, because it is divible by the number of its divisors (160).

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, 177725 + ... + 216515.

Almost surely, 2^7646481920 is an apocalyptic number.

7646481920 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 7646481920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11429054208).

7646481920 is an abundant number, since it is smaller than the sum of its proper divisors (15211626496).

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

7646481920 is a wasteful number, since it uses less digits than its factorization.

7646481920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38832 (or 38816 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 47.

The square root of 7646481920 is about 87444.1645851797. The cubic root of 7646481920 is about 1970.0952413435.

The spelling of 7646481920 in words is "seven billion, six hundred forty-six million, four hundred eighty-one thousand, nine hundred twenty".