71390783048640 has 448 divisors, whose sum is σ = 258116281896960. Its totient is φ = 16560377856000.

The previous prime is 71390783048617. The next prime is 71390783048659. The reversal of 71390783048640 is 4684038709317.

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 63 ways as a sum of consecutive naturals, for example, 27909870 + ... + 30360210.

Almost surely, 2^{71390783048640} 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 71390783048640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129058140948480).

71390783048640 is an abundant number, since it is smaller than the sum of its proper divisors (186725498848320).

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

71390783048640 is a wasteful number, since it uses less digits than its factorization.

71390783048640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2450492 (or 2450482 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 60.

The spelling of 71390783048640 in words is "seventy-one trillion, three hundred ninety billion, seven hundred eighty-three million, forty-eight thousand, six hundred forty".