61372249200 has 360 divisors, whose sum is σ = 216586043856. Its totient is φ = 16091136000.

The previous prime is 61372249193. The next prime is 61372249217. The reversal of 61372249200 is 294227316.

61372249200 is a `hidden beast` number, since 61 + 372 + 24 + 9 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 63204715 + ... + 63205685.

Almost surely, 2^61372249200 is an apocalyptic number.

61372249200 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 61372249200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108293021928).

61372249200 is an abundant number, since it is smaller than the sum of its proper divisors (155213794656).

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

61372249200 is a wasteful number, since it uses less digits than its factorization.

61372249200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1273 (or 1259 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 61372249200 in words is "sixty-one billion, three hundred seventy-two million, two hundred forty-nine thousand, two hundred".