7656457620 has 384 divisors, whose sum is σ = 27172454400. Its totient is φ = 1570480128.

The previous prime is 7656457609. The next prime is 7656457621. The reversal of 7656457620 is 267546567.

It is a self number, because there is not a number n which added to its sum of digits gives 7656457620.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7656457621) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 21327001 + ... + 21327359.

It is an arithmetic number, because the mean of its divisors is an integer number (70761600).

Almost surely, 2^7656457620 is an apocalyptic number.

7656457620 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 7656457620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13586227200).

7656457620 is an abundant number, since it is smaller than the sum of its proper divisors (19515996780).

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

7656457620 is a wasteful number, since it uses less digits than its factorization.

7656457620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 48.

The square root of 7656457620 is about 87501.1863919570. The cubic root of 7656457620 is about 1970.9516063551.

The spelling of 7656457620 in words is "seven billion, six hundred fifty-six million, four hundred fifty-seven thousand, six hundred twenty".