61401523680 has 864 divisors, whose sum is σ = 259281116640. Its totient is φ = 13168189440.

The previous prime is 61401523613. The next prime is 61401523693. The reversal of 61401523680 is 8632510416.

It is a happy number.

61401523680 is a `hidden beast` number, since 6 + 140 + 152 + 368 + 0 = 666.

61401523680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×61401523680² (a number of 22 digits) contains 22 as substring.

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 143 ways as a sum of consecutive naturals, for example, 75710475 + ... + 75711285.

It is an arithmetic number, because the mean of its divisors is an integer number (300093885).

Almost surely, 2^61401523680 is an apocalyptic number.

61401523680 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 61401523680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129640558320).

61401523680 is an abundant number, since it is smaller than the sum of its proper divisors (197879592960).

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

61401523680 is a wasteful number, since it uses less digits than its factorization.

61401523680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 912 (or 894 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 61401523680 in words is "sixty-one billion, four hundred one million, five hundred twenty-three thousand, six hundred eighty".