7641553920 has 1056 divisors, whose sum is σ = 33872380416. Its totient is φ = 1445068800.

The previous prime is 7641553903. The next prime is 7641553921. The reversal of 7641553920 is 293551467.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7641553921) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 107627485 + ... + 107627555.

Almost surely, 2^7641553920 is an apocalyptic number.

7641553920 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 7641553920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16936190208).

7641553920 is an abundant number, since it is smaller than the sum of its proper divisors (26230826496).

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

7641553920 is a wasteful number, since it uses less digits than its factorization.

7641553920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 42.

The square root of 7641553920 is about 87415.9820627784. The cubic root of 7641553920 is about 1969.6719217974.

The spelling of 7641553920 in words is "seven billion, six hundred forty-one million, five hundred fifty-three thousand, nine hundred twenty".