7507821640 has 128 divisors (see below), whose sum is σ = 18662555520. Its totient is φ = 2695680000.

The previous prime is 7507821611. The next prime is 7507821679. The reversal of 7507821640 is 461287057.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 7507821593 and 7507821602.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17338864 + ... + 17339296.

It is an arithmetic number, because the mean of its divisors is an integer number (145801215).

Almost surely, 2^7507821640 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 7507821640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9331277760).

7507821640 is an abundant number, since it is smaller than the sum of its proper divisors (11154733880).

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

7507821640 is a wasteful number, since it uses less digits than its factorization.

7507821640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 863 (or 859 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 40.

The square root of 7507821640 is about 86647.6868704526. The cubic root of 7507821640 is about 1958.1140438484.

The spelling of 7507821640 in words is "seven billion, five hundred seven million, eight hundred twenty-one thousand, six hundred forty".