7600126464 has 240 divisors, whose sum is σ = 26389471680. Its totient is φ = 2057011200.

The previous prime is 7600126459. The next prime is 7600126517. The reversal of 7600126464 is 4646210067.

7600126464 is a `hidden beast` number, since 7 + 6 + 0 + 0 + 1 + 2 + 646 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 606664 + ... + 619064.

It is an arithmetic number, because the mean of its divisors is an integer number (109956132).

Almost surely, 2^7600126464 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 7600126464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13194735840).

7600126464 is an abundant number, since it is smaller than the sum of its proper divisors (18789345216).

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

7600126464 is a wasteful number, since it uses less digits than its factorization.

7600126464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12451 (or 12432 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 7600126464 is about 87178.7041885804. The cubic root of 7600126464 is about 1966.1060501970.

The spelling of 7600126464 in words is "seven billion, six hundred million, one hundred twenty-six thousand, four hundred sixty-four".