7256051712 has 624 divisors, whose sum is σ = 27191498880. Its totient is φ = 1895104512.

The previous prime is 7256051659. The next prime is 7256051723. The reversal of 7256051712 is 2171506527.

7256051712 is a `hidden beast` number, since 7 + 25 + 605 + 17 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (624).

It is a super-3 number, since 3×7256051712³ (a number of 31 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70447053 + ... + 70447155.

It is an arithmetic number, because the mean of its divisors is an integer number (43576120).

Almost surely, 2^7256051712 is an apocalyptic number.

7256051712 is a gapful number since it is divisible by the number (72) 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 7256051712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13595749440).

7256051712 is an abundant number, since it is smaller than the sum of its proper divisors (19935447168).

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

7256051712 is a wasteful number, since it uses less digits than its factorization.

7256051712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 36.

The square root of 7256051712 is about 85182.4612933907. The cubic root of 7256051712 is about 1935.9766861933.

The spelling of 7256051712 in words is "seven billion, two hundred fifty-six million, fifty-one thousand, seven hundred twelve".