7653879540 has 120 divisors (see below), whose sum is σ = 24785198592. Its totient is φ = 1975181760.

The previous prime is 7653879523. The next prime is 7653879559. The reversal of 7653879540 is 459783567.

7653879540 is a `hidden beast` number, since 7 + 65 + 38 + 7 + 9 + 540 = 666.

It is a super-2 number, since 2×7653879540² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 25984 + ... + 126423.

Almost surely, 2^7653879540 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 7653879540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12392599296).

7653879540 is an abundant number, since it is smaller than the sum of its proper divisors (17131319052).

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

7653879540 is a wasteful number, since it uses less digits than its factorization.

7653879540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152459 (or 152448 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The square root of 7653879540 is about 87486.4534656652. The cubic root of 7653879540 is about 1970.7303621193.

The spelling of 7653879540 in words is "seven billion, six hundred fifty-three million, eight hundred seventy-nine thousand, five hundred forty".