7815428460 has 432 divisors, whose sum is σ = 29316924000. Its totient is φ = 1675634688.

The previous prime is 7815428449. The next prime is 7815428461. The reversal of 7815428460 is 648245187.

It is a super-2 number, since 2×7815428460² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7815428461) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 24969264 + ... + 24969576.

It is an arithmetic number, because the mean of its divisors is an integer number (67863250).

Almost surely, 2^7815428460 is an apocalyptic number.

7815428460 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 7815428460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14658462000).

7815428460 is an abundant number, since it is smaller than the sum of its proper divisors (21501495540).

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

7815428460 is a wasteful number, since it uses less digits than its factorization.

7815428460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 7815428460 is about 88404.9119676051. The cubic root of 7815428460 is about 1984.4992114813.

The spelling of 7815428460 in words is "seven billion, eight hundred fifteen million, four hundred twenty-eight thousand, four hundred sixty".