61374264000 has 336 divisors, whose sum is σ = 235749327840. Its totient is φ = 14028134400.

The previous prime is 61374263981. The next prime is 61374264011. The reversal of 61374264000 is 46247316.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

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, 1149906 + ... + 1202094.

Almost surely, 2^61374264000 is an apocalyptic number.

61374264000 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 61374264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117874663920).

61374264000 is an abundant number, since it is smaller than the sum of its proper divisors (174375063840).

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

61374264000 is a wasteful number, since it uses less digits than its factorization.

61374264000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52233 (or 52206 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The spelling of 61374264000 in words is "sixty-one billion, three hundred seventy-four million, two hundred sixty-four thousand".