7662653460 has 480 divisors, whose sum is σ = 30630555648. Its totient is φ = 1557169920.

The previous prime is 7662653447. The next prime is 7662653483. The reversal of 7662653460 is 643562667.

7662653460 is a `hidden beast` number, since 76 + 62 + 65 + 3 + 460 = 666.

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 159 ways as a sum of consecutive naturals, for example, 5862127 + ... + 5863433.

Almost surely, 2^7662653460 is an apocalyptic number.

7662653460 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 7662653460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15315277824).

7662653460 is an abundant number, since it is smaller than the sum of its proper divisors (22967902188).

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

7662653460 is a wasteful number, since it uses less digits than its factorization.

7662653460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1393 (or 1382 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The square root of 7662653460 is about 87536.5835522497. The cubic root of 7662653460 is about 1971.4831144780.

The spelling of 7662653460 in words is "seven billion, six hundred sixty-two million, six hundred fifty-three thousand, four hundred sixty".