6155953440 has 576 divisors, whose sum is σ = 24729981696. Its totient is φ = 1259421696.

The previous prime is 6155953411. The next prime is 6155953457. The reversal of 6155953440 is 443595516.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 6155953392 and 6155953401.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21009934 + ... + 21010226.

It is an arithmetic number, because the mean of its divisors is an integer number (42933996).

Almost surely, 2^6155953440 is an apocalyptic number.

6155953440 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 6155953440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12364990848).

6155953440 is an abundant number, since it is smaller than the sum of its proper divisors (18574028256).

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

6155953440 is a wasteful number, since it uses less digits than its factorization.

6155953440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 42.

The square root of 6155953440 is about 78459.8842721553. The cubic root of 6155953440 is about 1832.7298027362.

The spelling of 6155953440 in words is "six billion, one hundred fifty-five million, nine hundred fifty-three thousand, four hundred forty".