7625987890752 has 336 divisors, whose sum is σ = 25667314964480. Its totient is φ = 1955699665920.

The previous prime is 7625987890727. The next prime is 7625987890771. The reversal of 7625987890752 is 2570987895267.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×7625987890752² (a number of 27 digits) contains 22 as substring.

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, 12550503 + ... + 13144089.

Almost surely, 2^{7625987890752} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7625987890752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12833657482240).

7625987890752 is an abundant number, since it is smaller than the sum of its proper divisors (18041327073728).

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

7625987890752 is a wasteful number, since it uses less digits than its factorization.

7625987890752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593710 (or 593689 counting only the distinct ones).

The product of its (nonzero) digits is 1066867200, while the sum is 75.

The spelling of 7625987890752 in words is "seven trillion, six hundred twenty-five billion, nine hundred eighty-seven million, eight hundred ninety thousand, seven hundred fifty-two".