6461887523840 has 528 divisors, whose sum is σ = 19301163393024. Its totient is φ = 2031066316800.

The previous prime is 6461887523831. The next prime is 6461887523863. The reversal of 6461887523840 is 483257881646.

It is a Harshad number since it is a multiple of its sum of digits (62).

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, 401077385 + ... + 401093495.

Almost surely, 2^{6461887523840} 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 6461887523840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9650581696512).

6461887523840 is an abundant number, since it is smaller than the sum of its proper divisors (12839275869184).

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

6461887523840 is a wasteful number, since it uses less digits than its factorization.

6461887523840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16212 (or 16175 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 62.

The spelling of 6461887523840 in words is "six trillion, four hundred sixty-one billion, eight hundred eighty-seven million, five hundred twenty-three thousand, eight hundred forty".