61791748200 has 1152 divisors, whose sum is σ = 270729338880. Its totient is φ = 12279859200.

The previous prime is 61791748171. The next prime is 61791748261. The reversal of 61791748200 is 284719716.

It is a happy number.

61791748200 is a `hidden beast` number, since 617 + 9 + 1 + 7 + 4 + 8 + 20 + 0 = 666.

It is a super-2 number, since 2×61791748200² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 287 ways as a sum of consecutive naturals, for example, 218345259 + ... + 218345541.

Almost surely, 2^61791748200 is an apocalyptic number.

61791748200 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 61791748200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135364669440).

61791748200 is an abundant number, since it is smaller than the sum of its proper divisors (208937590680).

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

61791748200 is a wasteful number, since it uses less digits than its factorization.

61791748200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 61791748200 in words is "sixty-one billion, seven hundred ninety-one million, seven hundred forty-eight thousand, two hundred".