61333532400 has 240 divisors, whose sum is σ = 226311102464. Its totient is φ = 13908464640.

The previous prime is 61333532371. The next prime is 61333532413. The reversal of 61333532400 is 423533316.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1038054 + ... + 1095546.

Almost surely, 2^61333532400 is an apocalyptic number.

61333532400 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 61333532400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113155551232).

61333532400 is an abundant number, since it is smaller than the sum of its proper divisors (164977570064).

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

61333532400 is a wasteful number, since it uses less digits than its factorization.

61333532400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57648 (or 57637 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 30.

The spelling of 61333532400 in words is "sixty-one billion, three hundred thirty-three million, five hundred thirty-two thousand, four hundred".