61967625148800 has 3456 divisors, whose sum is σ = 281322492422400. Its totient is φ = 12904825651200.

The previous prime is 61967625148769. The next prime is 61967625148841. The reversal of 61967625148800 is 884152676916.

61967625148800 is a `hidden beast` number, since 6 + 1 + 96 + 7 + 62 + 5 + 1 + 488 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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, 81859478022 + ... + 81859478778.

It is an arithmetic number, because the mean of its divisors is an integer number (81401184150).

Almost surely, 2^{61967625148800} is an apocalyptic number.

61967625148800 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 61967625148800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140661246211200).

61967625148800 is an abundant number, since it is smaller than the sum of its proper divisors (219354867273600).

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

61967625148800 is a wasteful number, since it uses less digits than its factorization.

61967625148800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 934 (or 907 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 61967625148800 in words is "sixty-one trillion, nine hundred sixty-seven billion, six hundred twenty-five million, one hundred forty-eight thousand, eight hundred".