61812979200 has 1440 divisors, whose sum is σ = 279261126144. Its totient is φ = 13217955840.

The previous prime is 61812979127. The next prime is 61812979229. The reversal of 61812979200 is 297921816.

61812979200 is a `hidden beast` number, since 618 + 1 + 2 + 9 + 7 + 9 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-3 number, since 3×61812979200³ (a number of 33 digits) contains 333 as substring.

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 143 ways as a sum of consecutive naturals, for example, 370137517 + ... + 370137683.

Almost surely, 2^61812979200 is an apocalyptic number.

61812979200 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 61812979200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139630563072).

61812979200 is an abundant number, since it is smaller than the sum of its proper divisors (217448146944).

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

61812979200 is a wasteful number, since it uses less digits than its factorization.

61812979200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 61812979200 in words is "sixty-one billion, eight hundred twelve million, nine hundred seventy-nine thousand, two hundred".