9762464624640 has 1664 divisors, whose sum is σ = 40614191493120. Its totient is φ = 1945796345856.

The previous prime is 9762464624639. The next prime is 9762464624683. The reversal of 9762464624640 is 464264642679.

It is a tau number, because it is divible by the number of its divisors (1664).

It is a Harshad number since it is a multiple of its sum of digits (60).

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, 11444858454 + ... + 11444859306.

Almost surely, 2^{9762464624640} 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 9762464624640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20307095746560).

9762464624640 is an abundant number, since it is smaller than the sum of its proper divisors (30851726868480).

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

9762464624640 is a wasteful number, since it uses less digits than its factorization.

9762464624640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1017 (or 995 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 60.

The spelling of 9762464624640 in words is "nine trillion, seven hundred sixty-two billion, four hundred sixty-four million, six hundred twenty-four thousand, six hundred forty".