61237679616 has 320 divisors, whose sum is σ = 194360506560. Its totient is φ = 19205849088.

The previous prime is 61237679543. The next prime is 61237679623. The reversal of 61237679616 is 61697673216.

It is a happy number.

61237679616 is a `hidden beast` number, since 6 + 12 + 3 + 7 + 6 + 7 + 9 + 616 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19034040 + ... + 19037256.

It is an arithmetic number, because the mean of its divisors is an integer number (607376583).

Almost surely, 2^61237679616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61237679616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97180253280).

61237679616 is an abundant number, since it is smaller than the sum of its proper divisors (133122826944).

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

61237679616 is an frugal number, since it uses more digits than its factorization.

61237679616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3273 (or 3239 counting only the distinct ones).

The product of its digits is 3429216, while the sum is 54.

The spelling of 61237679616 in words is "sixty-one billion, two hundred thirty-seven million, six hundred seventy-nine thousand, six hundred sixteen".