61460649600 has 768 divisors, whose sum is σ = 241611202560. Its totient is φ = 13436928000.

The previous prime is 61460649587. The next prime is 61460649637. The reversal of 61460649600 is 694606416.

It is a super-2 number, since 2×61460649600² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 339561510 + ... + 339561690.

It is an arithmetic number, because the mean of its divisors is an integer number (314597920).

Almost surely, 2^61460649600 is an apocalyptic number.

61460649600 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 61460649600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120805601280).

61460649600 is an abundant number, since it is smaller than the sum of its proper divisors (180150552960).

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

61460649600 is a wasteful number, since it uses less digits than its factorization.

61460649600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The spelling of 61460649600 in words is "sixty-one billion, four hundred sixty million, six hundred forty-nine thousand, six hundred".