61379588700 has 432 divisors, whose sum is σ = 204480974880. Its totient is φ = 15966720000.

The previous prime is 61379588693. The next prime is 61379588707. The reversal of 61379588700 is 788597316.

It is an interprime number because it is at equal distance from previous prime (61379588693) and next prime (61379588707).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61379588707) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 218432560 + ... + 218432840.

It is an arithmetic number, because the mean of its divisors is an integer number (473335590).

Almost surely, 2^61379588700 is an apocalyptic number.

61379588700 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 61379588700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102240487440).

61379588700 is an abundant number, since it is smaller than the sum of its proper divisors (143101386180).

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

61379588700 is a wasteful number, since it uses less digits than its factorization.

61379588700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 61379588700 in words is "sixty-one billion, three hundred seventy-nine million, five hundred eighty-eight thousand, seven hundred".