61649319759000 has 64 divisors (see below), whose sum is σ = 192345877657440. Its totient is φ = 16439818601600.

The previous prime is 61649319758963. The next prime is 61649319759023. The reversal of 61649319759000 is 95791394616.

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 15 ways as a sum of consecutive naturals, for example, 10274883627 + ... + 10274889626.

Almost surely, 2^{61649319759000} is an apocalyptic number.

61649319759000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61649319759000 is an abundant number, since it is smaller than the sum of its proper divisors (130696557898440).

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

61649319759000 is a wasteful number, since it uses less digits than its factorization.

61649319759000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20549773277 (or 20549773263 counting only the distinct ones).

The product of its (nonzero) digits is 11022480, while the sum is 60.

The spelling of 61649319759000 in words is "sixty-one trillion, six hundred forty-nine billion, three hundred nineteen million, seven hundred fifty-nine thousand".