61245849600 has 960 divisors, whose sum is σ = 247788359280. Its totient is φ = 14863564800.

The previous prime is 61245849583. The next prime is 61245849617. The reversal of 61245849600 is 694854216.

61245849600 is a `hidden beast` number, since 6 + 1 + 2 + 4 + 584 + 9 + 60 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (61245849583) and next prime (61245849617).

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 862617565 + ... + 862617635.

Almost surely, 2^61245849600 is an apocalyptic number.

61245849600 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 61245849600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123894179640).

61245849600 is an abundant number, since it is smaller than the sum of its proper divisors (186542509680).

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

61245849600 is an equidigital number, since it uses as much as digits as its factorization.

61245849600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 94 counting only the distinct ones).

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

The spelling of 61245849600 in words is "sixty-one billion, two hundred forty-five million, eight hundred forty-nine thousand, six hundred".