7416126900 has 864 divisors, whose sum is σ = 31059345408. Its totient is φ = 1437004800.

The previous prime is 7416126871. The next prime is 7416126973. The reversal of 7416126900 is 96216147.

It is a super-2 number, since 2×7416126900² (a number of 21 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 287 ways as a sum of consecutive naturals, for example, 58394637 + ... + 58394763.

Almost surely, 2^7416126900 is an apocalyptic number.

7416126900 is a gapful number since it is divisible by the number (70) 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 7416126900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15529672704).

7416126900 is an abundant number, since it is smaller than the sum of its proper divisors (23643218508).

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

7416126900 is a wasteful number, since it uses less digits than its factorization.

7416126900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 7416126900 is about 86116.9373584546. The cubic root of 7416126900 is about 1950.1097374141.

It can be divided in two parts, 7416126 and 900, that added together give a triangular number (7417026 = T₃₈₅₁).

The spelling of 7416126900 in words is "seven billion, four hundred sixteen million, one hundred twenty-six thousand, nine hundred".