771425000640 has 1568 divisors, whose sum is σ = 3326133657600. Its totient is φ = 170089113600.

The previous prime is 771425000569. The next prime is 771425000651. The reversal of 771425000640 is 46000524177.

771425000640 is a `hidden beast` number, since 7 + 7 + 1 + 4 + 2 + 5 + 0 + 0 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (1568).

It is a super-2 number, since 2×771425000640² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 771425000595 and 771425000604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 2480466085 + ... + 2480466395.

Almost surely, 2^771425000640 is an apocalyptic number.

771425000640 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 771425000640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1663066828800).

771425000640 is an abundant number, since it is smaller than the sum of its proper divisors (2554708656960).

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

771425000640 is an equidigital number, since it uses as much as digits as its factorization.

771425000640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 771425000640 in words is "seven hundred seventy-one billion, four hundred twenty-five million, six hundred forty", and thus it is an aban number.