61867713600 has 1008 divisors, whose sum is σ = 286309978560. Its totient is φ = 12850790400.

The previous prime is 61867713599. The next prime is 61867713623. The reversal of 61867713600 is 631776816.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×61867713600² (a number of 22 digits) contains 22 as substring.

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 143 ways as a sum of consecutive naturals, for example, 23283472 + ... + 23286128.

Almost surely, 2^61867713600 is an apocalyptic number.

61867713600 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 61867713600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143154989280).

61867713600 is an abundant number, since it is smaller than the sum of its proper divisors (224442264960).

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

61867713600 is a wasteful number, since it uses less digits than its factorization.

61867713600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2713 (or 2685 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 61867713600 in words is "sixty-one billion, eight hundred sixty-seven million, seven hundred thirteen thousand, six hundred".