7734545021025 has 81 divisors (see below), whose sum is σ = 14240807828793. Its totient is φ = 4012800782400.

The previous prime is 7734545021011. The next prime is 7734545021039. The reversal of 7734545021025 is 5201205454377.

The square root of 7734545021025 is 2781105.

It is a perfect power (a square), and thus also a powerful number.

7734545021025 is a `hidden beast` number, since 7 + 7 + 34 + 5 + 4 + 502 + 102 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (7734545021011) and next prime (7734545021039).

It can be written as a sum of positive squares in 4 ways, for example, as 734245048161 + 7000299972864 = 856881^2 + 2645808^2 .

It is not a de Polignac number, because 7734545021025 - 2¹⁹ = 7734544496737 is a prime.

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

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1543510770 + ... + 1543515780.

Almost surely, 2^{7734545021025} is an apocalyptic number.

7734545021025 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

7734545021025 is the 2781105-th square number.

7734545021025 is the 1390553-rd centered octagonal number.

It is an amenable number.

7734545021025 is a deficient number, since it is larger than the sum of its proper divisors (6506262807768).

7734545021025 is an frugal number, since it uses more digits than its factorization.

7734545021025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10112 (or 5056 counting only the distinct ones).

The product of its (nonzero) digits is 1176000, while the sum is 45.

The spelling of 7734545021025 in words is "seven trillion, seven hundred thirty-four billion, five hundred forty-five million, twenty-one thousand, twenty-five".