61408620000 has 1440 divisors, whose sum is σ = 281973339648. Its totient is φ = 12317184000.

The previous prime is 61408619969. The next prime is 61408620017. The reversal of 61408620000 is 2680416.

61408620000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×61408620000² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 376739919 + ... + 376740081.

Almost surely, 2^61408620000 is an apocalyptic number.

61408620000 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 61408620000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140986669824).

61408620000 is an abundant number, since it is smaller than the sum of its proper divisors (220564719648).

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

61408620000 is a wasteful number, since it uses less digits than its factorization.

61408620000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 61408620000 in words is "sixty-one billion, four hundred eight million, six hundred twenty thousand".