7623728640 has 640 divisors, whose sum is σ = 30452336640. Its totient is φ = 1791590400.

The previous prime is 7623728639. The next prime is 7623728653. The reversal of 7623728640 is 468273267.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28131705 + ... + 28131975.

It is an arithmetic number, because the mean of its divisors is an integer number (47581776).

Almost surely, 2^7623728640 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 7623728640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15226168320).

7623728640 is an abundant number, since it is smaller than the sum of its proper divisors (22828608000).

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

7623728640 is a wasteful number, since it uses less digits than its factorization.

7623728640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The square root of 7623728640 is about 87313.9658932063. The cubic root of 7623728640 is about 1968.1391930103.

The spelling of 7623728640 in words is "seven billion, six hundred twenty-three million, seven hundred twenty-eight thousand, six hundred forty".