61288874000640 has 3888 divisors, whose sum is σ = 275522728388544. Its totient is φ = 12955706818560.

The previous prime is 61288874000597. The next prime is 61288874000663. The reversal of 61288874000640 is 4600047888216.

It is a tau number, because it is divible by the number of its divisors (3888).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 176624996947 + ... + 176624997293.

Almost surely, 2^{61288874000640} is an apocalyptic number.

61288874000640 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61288874000640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137761364194272).

61288874000640 is an abundant number, since it is smaller than the sum of its proper divisors (214233854387904).

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

61288874000640 is a wasteful number, since it uses less digits than its factorization.

61288874000640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 61288874000640 in words is "sixty-one trillion, two hundred eighty-eight billion, eight hundred seventy-four million, six hundred forty", and thus it is an aban number.