7625363504640 has 1280 divisors, whose sum is σ = 29928141619200. Its totient is φ = 1652363919360.

The previous prime is 7625363504623. The next prime is 7625363504657. The reversal of 7625363504640 is 464053635267.

It is an interprime number because it is at equal distance from previous prime (7625363504623) and next prime (7625363504657).

It is a tau number, because it is divible by the number of its divisors (1280).

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7694614545 + ... + 7694615535.

It is an arithmetic number, because the mean of its divisors is an integer number (23381360640).

Almost surely, 2^{7625363504640} is an apocalyptic number.

7625363504640 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 7625363504640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14964070809600).

7625363504640 is an abundant number, since it is smaller than the sum of its proper divisors (22302778114560).

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

7625363504640 is a wasteful number, since it uses less digits than its factorization.

7625363504640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1188 (or 1158 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 51.

The spelling of 7625363504640 in words is "seven trillion, six hundred twenty-five billion, three hundred sixty-three million, five hundred four thousand, six hundred forty".