61925648400 has 1080 divisors, whose sum is σ = 284981920704. Its totient is φ = 12095078400.

The previous prime is 61925648387. The next prime is 61925648441. The reversal of 61925648400 is 484652916.

61925648400 is a `hidden beast` number, since 6 + 1 + 9 + 2 + 564 + 84 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 80110414 + ... + 80111186.

Almost surely, 2^61925648400 is an apocalyptic number.

61925648400 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 61925648400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142490960352).

61925648400 is an abundant number, since it is smaller than the sum of its proper divisors (223056272304).

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

61925648400 is a wasteful number, since it uses less digits than its factorization.

61925648400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 849 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 61925648400 in words is "sixty-one billion, nine hundred twenty-five million, six hundred forty-eight thousand, four hundred".