61517750400 has 960 divisors, whose sum is σ = 251231777280. Its totient is φ = 14744125440.

The previous prime is 61517750341. The next prime is 61517750407. The reversal of 61517750400 is 405771516.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×61517750400² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is not an unprimeable number, because it can be changed into a prime (61517750407) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 101346897 + ... + 101347503.

It is an arithmetic number, because the mean of its divisors is an integer number (261699768).

Almost surely, 2^61517750400 is an apocalyptic number.

61517750400 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 61517750400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125615888640).

61517750400 is an abundant number, since it is smaller than the sum of its proper divisors (189714026880).

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

61517750400 is a wasteful number, since it uses less digits than its factorization.

61517750400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 36.

The spelling of 61517750400 in words is "sixty-one billion, five hundred seventeen million, seven hundred fifty thousand, four hundred".